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Finding the Fourth Proportional to 614,129.76, 847,350.72 and 345,857.76

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Solution

The fourth proportional to 614,129.76, 847,350.72 and 345,857.76 is: 477,200.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,129.76 : 847,350.72 = 345,857.76 : x
  2. Step 2: Convert to fraction form
    614,129.76/847,350.72 = 345,857.76/x
  3. Step 3: Cross multiply
    614,129.76x = 847,350.72 × 345,857.76
  4. Step 4: Simplify right side
    614,129.76x = 293,062,821,953.59
  5. Step 5: Solve for x
    x = 293,062,821,953.59/614,129.76
  6. Step 6: Final answer
    x = 477,200.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.