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Finding the Fourth Proportional to 423,646.81, 584,631.90 and 232,660.20

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Solution

The fourth proportional to 423,646.81, 584,631.90 and 232,660.20 is: 321,070.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,646.81 : 584,631.90 = 232,660.20 : x
  2. Step 2: Convert to fraction form
    423,646.81/584,631.90 = 232,660.20/x
  3. Step 3: Cross multiply
    423,646.81x = 584,631.90 × 232,660.20
  4. Step 4: Simplify right side
    423,646.81x = 136,020,574,780.38
  5. Step 5: Solve for x
    x = 136,020,574,780.38/423,646.81
  6. Step 6: Final answer
    x = 321,070.69

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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.