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Finding the Fourth Proportional to 537,875.34, 806,259.42 and 238,496.91

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Solution

The fourth proportional to 537,875.34, 806,259.42 and 238,496.91 is: 357,499.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,875.34 : 806,259.42 = 238,496.91 : x
  2. Step 2: Convert to fraction form
    537,875.34/806,259.42 = 238,496.91/x
  3. Step 3: Cross multiply
    537,875.34x = 806,259.42 × 238,496.91
  4. Step 4: Simplify right side
    537,875.34x = 192,290,377,304.92
  5. Step 5: Solve for x
    x = 192,290,377,304.92/537,875.34
  6. Step 6: Final answer
    x = 357,499.90

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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.