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Finding the Fourth Proportional to 415,808.93, 623,728.98 and 188,061.23

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Solution

The fourth proportional to 415,808.93, 623,728.98 and 188,061.23 is: 282,098.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,808.93 : 623,728.98 = 188,061.23 : x
  2. Step 2: Convert to fraction form
    415,808.93/623,728.98 = 188,061.23/x
  3. Step 3: Cross multiply
    415,808.93x = 623,728.98 × 188,061.23
  4. Step 4: Simplify right side
    415,808.93x = 117,299,236,046.80
  5. Step 5: Solve for x
    x = 117,299,236,046.80/415,808.93
  6. Step 6: Final answer
    x = 282,098.89

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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.