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Finding the Fourth Proportional to 472,400, 653,078.40 and 452,571.20

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Solution

The fourth proportional to 472,400, 653,078.40 and 452,571.20 is: 625,665.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,400 : 653,078.40 = 452,571.20 : x
  2. Step 2: Convert to fraction form
    472,400/653,078.40 = 452,571.20/x
  3. Step 3: Cross multiply
    472,400x = 653,078.40 × 452,571.20
  4. Step 4: Simplify right side
    472,400x = 295,564,475,182.08
  5. Step 5: Solve for x
    x = 295,564,475,182.08/472,400
  6. Step 6: Final answer
    x = 625,665.70

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