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Finding the Fourth Proportional to 413,648.72, 570,888.56 and 232,360.60

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Solution

The fourth proportional to 413,648.72, 570,888.56 and 232,360.60 is: 320,687.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,648.72 : 570,888.56 = 232,360.60 : x
  2. Step 2: Convert to fraction form
    413,648.72/570,888.56 = 232,360.60/x
  3. Step 3: Cross multiply
    413,648.72x = 570,888.56 × 232,360.60
  4. Step 4: Simplify right side
    413,648.72x = 132,652,007,251.80
  5. Step 5: Solve for x
    x = 132,652,007,251.80/413,648.72
  6. Step 6: Final answer
    x = 320,687.58

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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.