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Finding the Fourth Proportional to 423,772.50, 584,806.05 and 232,789.08

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Solution

The fourth proportional to 423,772.50, 584,806.05 and 232,789.08 is: 321,248.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,772.50 : 584,806.05 = 232,789.08 : x
  2. Step 2: Convert to fraction form
    423,772.50/584,806.05 = 232,789.08/x
  3. Step 3: Cross multiply
    423,772.50x = 584,806.05 × 232,789.08
  4. Step 4: Simplify right side
    423,772.50x = 136,136,462,357.93
  5. Step 5: Solve for x
    x = 136,136,462,357.93/423,772.50
  6. Step 6: Final answer
    x = 321,248.93

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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.