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Finding the Fourth Proportional to 415,932.10, 624,114.15 and 194,316.10

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Solution

The fourth proportional to 415,932.10, 624,114.15 and 194,316.10 is: 291,575.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,932.10 : 624,114.15 = 194,316.10 : x
  2. Step 2: Convert to fraction form
    415,932.10/624,114.15 = 194,316.10/x
  3. Step 3: Cross multiply
    415,932.10x = 624,114.15 × 194,316.10
  4. Step 4: Simplify right side
    415,932.10x = 121,275,427,582.82
  5. Step 5: Solve for x
    x = 121,275,427,582.82/415,932.10
  6. Step 6: Final answer
    x = 291,575.06

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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.