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Finding the Fourth Proportional to 514,935, 710,654.04 and 288,624.24

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Solution

The fourth proportional to 514,935, 710,654.04 and 288,624.24 is: 398,325.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,935 : 710,654.04 = 288,624.24 : x
  2. Step 2: Convert to fraction form
    514,935/710,654.04 = 288,624.24/x
  3. Step 3: Cross multiply
    514,935x = 710,654.04 × 288,624.24
  4. Step 4: Simplify right side
    514,935x = 205,111,982,197.93
  5. Step 5: Solve for x
    x = 205,111,982,197.93/514,935
  6. Step 6: Final answer
    x = 398,325.97

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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.