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Finding the Fourth Proportional to 553,618.80, 830,428.20 and 413,650.80

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Solution

The fourth proportional to 553,618.80, 830,428.20 and 413,650.80 is: 620,476.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,618.80 : 830,428.20 = 413,650.80 : x
  2. Step 2: Convert to fraction form
    553,618.80/830,428.20 = 413,650.80/x
  3. Step 3: Cross multiply
    553,618.80x = 830,428.20 × 413,650.80
  4. Step 4: Simplify right side
    553,618.80x = 343,507,289,272.56
  5. Step 5: Solve for x
    x = 343,507,289,272.56/553,618.80
  6. Step 6: Final answer
    x = 620,476.20

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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.