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Finding the Fourth Proportional to 423,751.66, 584,780.76 and 232,769.32

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Solution

The fourth proportional to 423,751.66, 584,780.76 and 232,769.32 is: 321,223.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,751.66 : 584,780.76 = 232,769.32 : x
  2. Step 2: Convert to fraction form
    423,751.66/584,780.76 = 232,769.32/x
  3. Step 3: Cross multiply
    423,751.66x = 584,780.76 × 232,769.32
  4. Step 4: Simplify right side
    423,751.66x = 136,119,019,854.28
  5. Step 5: Solve for x
    x = 136,119,019,854.28/423,751.66
  6. Step 6: Final answer
    x = 321,223.57

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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.