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Finding the Fourth Proportional to 347,633.53, 521,644.06 and 187,706.08

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Solution

The fourth proportional to 347,633.53, 521,644.06 and 187,706.08 is: 281,663.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,633.53 : 521,644.06 = 187,706.08 : x
  2. Step 2: Convert to fraction form
    347,633.53/521,644.06 = 187,706.08/x
  3. Step 3: Cross multiply
    347,633.53x = 521,644.06 × 187,706.08
  4. Step 4: Simplify right side
    347,633.53x = 97,915,761,657.88
  5. Step 5: Solve for x
    x = 97,915,761,657.88/347,633.53
  6. Step 6: Final answer
    x = 281,663.74

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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.