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Finding the Fourth Proportional to 423,417.20, 584,322.36 and 232,448

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Solution

The fourth proportional to 423,417.20, 584,322.36 and 232,448 is: 320,781.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,417.20 : 584,322.36 = 232,448 : x
  2. Step 2: Convert to fraction form
    423,417.20/584,322.36 = 232,448/x
  3. Step 3: Cross multiply
    423,417.20x = 584,322.36 × 232,448
  4. Step 4: Simplify right side
    423,417.20x = 135,824,563,937.28
  5. Step 5: Solve for x
    x = 135,824,563,937.28/423,417.20
  6. Step 6: Final answer
    x = 320,781.88

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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.