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Finding the Fourth Proportional to 402,158.40, 602,719.20 and 244,219.20

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Solution

The fourth proportional to 402,158.40, 602,719.20 and 244,219.20 is: 366,013.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,158.40 : 602,719.20 = 244,219.20 : x
  2. Step 2: Convert to fraction form
    402,158.40/602,719.20 = 244,219.20/x
  3. Step 3: Cross multiply
    402,158.40x = 602,719.20 × 244,219.20
  4. Step 4: Simplify right side
    402,158.40x = 147,195,600,848.64
  5. Step 5: Solve for x
    x = 147,195,600,848.64/402,158.40
  6. Step 6: Final answer
    x = 366,013.99

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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.