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Finding the Fourth Proportional to 423,166.86, 584,008.11 and 232,217.46

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Solution

The fourth proportional to 423,166.86, 584,008.11 and 232,217.46 is: 320,480.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,166.86 : 584,008.11 = 232,217.46 : x
  2. Step 2: Convert to fraction form
    423,166.86/584,008.11 = 232,217.46/x
  3. Step 3: Cross multiply
    423,166.86x = 584,008.11 × 232,217.46
  4. Step 4: Simplify right side
    423,166.86x = 135,616,879,923.60
  5. Step 5: Solve for x
    x = 135,616,879,923.60/423,166.86
  6. Step 6: Final answer
    x = 320,480.86

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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.