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Finding the Fourth Proportional to 344,073.76, 474,657.00 and 242,155.78

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Solution

The fourth proportional to 344,073.76, 474,657.00 and 242,155.78 is: 334,059.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,073.76 : 474,657.00 = 242,155.78 : x
  2. Step 2: Convert to fraction form
    344,073.76/474,657.00 = 242,155.78/x
  3. Step 3: Cross multiply
    344,073.76x = 474,657.00 × 242,155.78
  4. Step 4: Simplify right side
    344,073.76x = 114,940,933,972.73
  5. Step 5: Solve for x
    x = 114,940,933,972.73/344,073.76
  6. Step 6: Final answer
    x = 334,059.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.