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Finding the Fourth Proportional to 472,646.20, 709,314.90 and 314,822.20

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Solution

The fourth proportional to 472,646.20, 709,314.90 and 314,822.20 is: 472,463.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,646.20 : 709,314.90 = 314,822.20 : x
  2. Step 2: Convert to fraction form
    472,646.20/709,314.90 = 314,822.20/x
  3. Step 3: Cross multiply
    472,646.20x = 709,314.90 × 314,822.20
  4. Step 4: Simplify right side
    472,646.20x = 223,308,077,310.78
  5. Step 5: Solve for x
    x = 223,308,077,310.78/472,646.20
  6. Step 6: Final answer
    x = 472,463.50

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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.