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Finding the Fourth Proportional to 404,314.64, 557,921.47 and 232,177.69

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Solution

The fourth proportional to 404,314.64, 557,921.47 and 232,177.69 is: 320,386.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,314.64 : 557,921.47 = 232,177.69 : x
  2. Step 2: Convert to fraction form
    404,314.64/557,921.47 = 232,177.69/x
  3. Step 3: Cross multiply
    404,314.64x = 557,921.47 × 232,177.69
  4. Step 4: Simplify right side
    404,314.64x = 129,536,918,658.30
  5. Step 5: Solve for x
    x = 129,536,918,658.30/404,314.64
  6. Step 6: Final answer
    x = 320,386.42

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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.