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Finding the Fourth Proportional to 347,729.30, 521,593.95 and 189,871.64

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Solution

The fourth proportional to 347,729.30, 521,593.95 and 189,871.64 is: 284,807.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,729.30 : 521,593.95 = 189,871.64 : x
  2. Step 2: Convert to fraction form
    347,729.30/521,593.95 = 189,871.64/x
  3. Step 3: Cross multiply
    347,729.30x = 521,593.95 × 189,871.64
  4. Step 4: Simplify right side
    347,729.30x = 99,035,896,092.61
  5. Step 5: Solve for x
    x = 99,035,896,092.61/347,729.30
  6. Step 6: Final answer
    x = 284,807.46

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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.