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Finding the Fourth Proportional to 418,732.59, 628,357.20 and 194,051.16

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Solution

The fourth proportional to 418,732.59, 628,357.20 and 194,051.16 is: 291,196.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,732.59 : 628,357.20 = 194,051.16 : x
  2. Step 2: Convert to fraction form
    418,732.59/628,357.20 = 194,051.16/x
  3. Step 3: Cross multiply
    418,732.59x = 628,357.20 × 194,051.16
  4. Step 4: Simplify right side
    418,732.59x = 121,933,443,554.35
  5. Step 5: Solve for x
    x = 121,933,443,554.35/418,732.59
  6. Step 6: Final answer
    x = 291,196.45

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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.