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Finding the Fourth Proportional to 415,948.08, 574,008.46 and 234,698.42

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Solution

The fourth proportional to 415,948.08, 574,008.46 and 234,698.42 is: 323,883.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,948.08 : 574,008.46 = 234,698.42 : x
  2. Step 2: Convert to fraction form
    415,948.08/574,008.46 = 234,698.42/x
  3. Step 3: Cross multiply
    415,948.08x = 574,008.46 × 234,698.42
  4. Step 4: Simplify right side
    415,948.08x = 134,718,878,628.63
  5. Step 5: Solve for x
    x = 134,718,878,628.63/415,948.08
  6. Step 6: Final answer
    x = 323,883.88

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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.