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Finding the Fourth Proportional to 350,406.84, 525,732.24 and 110,557.78

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Solution

The fourth proportional to 350,406.84, 525,732.24 and 110,557.78 is: 165,875.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,406.84 : 525,732.24 = 110,557.78 : x
  2. Step 2: Convert to fraction form
    350,406.84/525,732.24 = 110,557.78/x
  3. Step 3: Cross multiply
    350,406.84x = 525,732.24 × 110,557.78
  4. Step 4: Simplify right side
    350,406.84x = 58,123,786,700.17
  5. Step 5: Solve for x
    x = 58,123,786,700.17/350,406.84
  6. Step 6: Final answer
    x = 165,875.15

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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.