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Finding the Fourth Proportional to 415,776.62, 573,737.38 and 234,533.10

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Solution

The fourth proportional to 415,776.62, 573,737.38 and 234,533.10 is: 323,636.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,776.62 : 573,737.38 = 234,533.10 : x
  2. Step 2: Convert to fraction form
    415,776.62/573,737.38 = 234,533.10/x
  3. Step 3: Cross multiply
    415,776.62x = 573,737.38 × 234,533.10
  4. Step 4: Simplify right side
    415,776.62x = 134,560,405,730.95
  5. Step 5: Solve for x
    x = 134,560,405,730.95/415,776.62
  6. Step 6: Final answer
    x = 323,636.30

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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.