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Finding the Fourth Proportional to 400,851.84, 553,275.36 and 231,188.16

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Solution

The fourth proportional to 400,851.84, 553,275.36 and 231,188.16 is: 319,097.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,851.84 : 553,275.36 = 231,188.16 : x
  2. Step 2: Convert to fraction form
    400,851.84/553,275.36 = 231,188.16/x
  3. Step 3: Cross multiply
    400,851.84x = 553,275.36 × 231,188.16
  4. Step 4: Simplify right side
    400,851.84x = 127,910,712,451.74
  5. Step 5: Solve for x
    x = 127,910,712,451.74/400,851.84
  6. Step 6: Final answer
    x = 319,097.23

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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.