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Finding the Fourth Proportional to 415,700.50, 623,552.06 and 116,179.10

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Solution

The fourth proportional to 415,700.50, 623,552.06 and 116,179.10 is: 174,269.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,700.50 : 623,552.06 = 116,179.10 : x
  2. Step 2: Convert to fraction form
    415,700.50/623,552.06 = 116,179.10/x
  3. Step 3: Cross multiply
    415,700.50x = 623,552.06 × 116,179.10
  4. Step 4: Simplify right side
    415,700.50x = 72,443,717,133.95
  5. Step 5: Solve for x
    x = 72,443,717,133.95/415,700.50
  6. Step 6: Final answer
    x = 174,269.02

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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.