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Finding the Fourth Proportional to 524,614.40, 785,107.20 and 314,403.20

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Solution

The fourth proportional to 524,614.40, 785,107.20 and 314,403.20 is: 470,517.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,614.40 : 785,107.20 = 314,403.20 : x
  2. Step 2: Convert to fraction form
    524,614.40/785,107.20 = 314,403.20/x
  3. Step 3: Cross multiply
    524,614.40x = 785,107.20 × 314,403.20
  4. Step 4: Simplify right side
    524,614.40x = 246,840,216,023.04
  5. Step 5: Solve for x
    x = 246,840,216,023.04/524,614.40
  6. Step 6: Final answer
    x = 470,517.42

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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.