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Finding the Fourth Proportional to 413,658.06, 570,785.94 and 232,335.24

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Solution

The fourth proportional to 413,658.06, 570,785.94 and 232,335.24 is: 320,587.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,658.06 : 570,785.94 = 232,335.24 : x
  2. Step 2: Convert to fraction form
    413,658.06/570,785.94 = 232,335.24/x
  3. Step 3: Cross multiply
    413,658.06x = 570,785.94 × 232,335.24
  4. Step 4: Simplify right side
    413,658.06x = 132,613,688,358.53
  5. Step 5: Solve for x
    x = 132,613,688,358.53/413,658.06
  6. Step 6: Final answer
    x = 320,587.71

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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.