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Finding the Fourth Proportional to 415,966.88, 574,032.60 and 234,678.80

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Solution

The fourth proportional to 415,966.88, 574,032.60 and 234,678.80 is: 323,855.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,966.88 : 574,032.60 = 234,678.80 : x
  2. Step 2: Convert to fraction form
    415,966.88/574,032.60 = 234,678.80/x
  3. Step 3: Cross multiply
    415,966.88x = 574,032.60 × 234,678.80
  4. Step 4: Simplify right side
    415,966.88x = 134,713,281,728.88
  5. Step 5: Solve for x
    x = 134,713,281,728.88/415,966.88
  6. Step 6: Final answer
    x = 323,855.79

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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.