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Finding the Fourth Proportional to 296,491.62, 444,820.56 and 119,123.16

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Solution

The fourth proportional to 296,491.62, 444,820.56 and 119,123.16 is: 178,718.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,491.62 : 444,820.56 = 119,123.16 : x
  2. Step 2: Convert to fraction form
    296,491.62/444,820.56 = 119,123.16/x
  3. Step 3: Cross multiply
    296,491.62x = 444,820.56 × 119,123.16
  4. Step 4: Simplify right side
    296,491.62x = 52,988,430,740.17
  5. Step 5: Solve for x
    x = 52,988,430,740.17/296,491.62
  6. Step 6: Final answer
    x = 178,718.14

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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.