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Finding the Fourth Proportional to 404,854.40, 606,892.80 and 314,847.20

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Solution

The fourth proportional to 404,854.40, 606,892.80 and 314,847.20 is: 471,968.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,854.40 : 606,892.80 = 314,847.20 : x
  2. Step 2: Convert to fraction form
    404,854.40/606,892.80 = 314,847.20/x
  3. Step 3: Cross multiply
    404,854.40x = 606,892.80 × 314,847.20
  4. Step 4: Simplify right side
    404,854.40x = 191,078,498,780.16
  5. Step 5: Solve for x
    x = 191,078,498,780.16/404,854.40
  6. Step 6: Final answer
    x = 471,968.44

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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.