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Finding the Fourth Proportional to 415,948.58, 574,009.15 and 234,698.92

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Solution

The fourth proportional to 415,948.58, 574,009.15 and 234,698.92 is: 323,884.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,948.58 : 574,009.15 = 234,698.92 : x
  2. Step 2: Convert to fraction form
    415,948.58/574,009.15 = 234,698.92/x
  3. Step 3: Cross multiply
    415,948.58x = 574,009.15 × 234,698.92
  4. Step 4: Simplify right side
    415,948.58x = 134,719,327,575.12
  5. Step 5: Solve for x
    x = 134,719,327,575.12/415,948.58
  6. Step 6: Final answer
    x = 323,884.57

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1.5x scale

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.