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Finding the Fourth Proportional to 474,442.76, 710,876.82 and 333,906.14

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Solution

The fourth proportional to 474,442.76, 710,876.82 and 333,906.14 is: 500,305.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,442.76 : 710,876.82 = 333,906.14 : x
  2. Step 2: Convert to fraction form
    474,442.76/710,876.82 = 333,906.14/x
  3. Step 3: Cross multiply
    474,442.76x = 710,876.82 × 333,906.14
  4. Step 4: Simplify right side
    474,442.76x = 237,366,138,011.02
  5. Step 5: Solve for x
    x = 237,366,138,011.02/474,442.76
  6. Step 6: Final answer
    x = 500,305.11

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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.