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Finding the Fourth Proportional to 288,534.60, 432,801.90 and 284,387.40

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Solution

The fourth proportional to 288,534.60, 432,801.90 and 284,387.40 is: 426,581.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,534.60 : 432,801.90 = 284,387.40 : x
  2. Step 2: Convert to fraction form
    288,534.60/432,801.90 = 284,387.40/x
  3. Step 3: Cross multiply
    288,534.60x = 432,801.90 × 284,387.40
  4. Step 4: Simplify right side
    288,534.60x = 123,083,407,056.06
  5. Step 5: Solve for x
    x = 123,083,407,056.06/288,534.60
  6. Step 6: Final answer
    x = 426,581.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.