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Finding the Fourth Proportional to 347,476.20, 521,271.90 and 147,892.20

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Solution

The fourth proportional to 347,476.20, 521,271.90 and 147,892.20 is: 221,862.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,476.20 : 521,271.90 = 147,892.20 : x
  2. Step 2: Convert to fraction form
    347,476.20/521,271.90 = 147,892.20/x
  3. Step 3: Cross multiply
    347,476.20x = 521,271.90 × 147,892.20
  4. Step 4: Simplify right side
    347,476.20x = 77,092,048,089.18
  5. Step 5: Solve for x
    x = 77,092,048,089.18/347,476.20
  6. Step 6: Final answer
    x = 221,862.82

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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.