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Finding the Fourth Proportional to 471,343.46, 707,125.94 and 155,800.38

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Solution

The fourth proportional to 471,343.46, 707,125.94 and 155,800.38 is: 233,737.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,343.46 : 707,125.94 = 155,800.38 : x
  2. Step 2: Convert to fraction form
    471,343.46/707,125.94 = 155,800.38/x
  3. Step 3: Cross multiply
    471,343.46x = 707,125.94 × 155,800.38
  4. Step 4: Simplify right side
    471,343.46x = 110,170,490,159.86
  5. Step 5: Solve for x
    x = 110,170,490,159.86/471,343.46
  6. Step 6: Final answer
    x = 233,737.18

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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.