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Finding the Fourth Proportional to 614,200.80, 921,301.20 and 282,424.80

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Solution

The fourth proportional to 614,200.80, 921,301.20 and 282,424.80 is: 423,637.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,200.80 : 921,301.20 = 282,424.80 : x
  2. Step 2: Convert to fraction form
    614,200.80/921,301.20 = 282,424.80/x
  3. Step 3: Cross multiply
    614,200.80x = 921,301.20 × 282,424.80
  4. Step 4: Simplify right side
    614,200.80x = 260,198,307,149.76
  5. Step 5: Solve for x
    x = 260,198,307,149.76/614,200.80
  6. Step 6: Final answer
    x = 423,637.20

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.