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Finding the Fourth Proportional to 465,518.61, 698,584.10 and 255,304.17

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Solution

The fourth proportional to 465,518.61, 698,584.10 and 255,304.17 is: 383,124.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,518.61 : 698,584.10 = 255,304.17 : x
  2. Step 2: Convert to fraction form
    465,518.61/698,584.10 = 255,304.17/x
  3. Step 3: Cross multiply
    465,518.61x = 698,584.10 × 255,304.17
  4. Step 4: Simplify right side
    465,518.61x = 178,351,432,549.18
  5. Step 5: Solve for x
    x = 178,351,432,549.18/465,518.61
  6. Step 6: Final answer
    x = 383,124.17

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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.