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Finding the Fourth Proportional to 423,386.80, 584,269.81 and 232,396.09

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Solution

The fourth proportional to 423,386.80, 584,269.81 and 232,396.09 is: 320,704.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,386.80 : 584,269.81 = 232,396.09 : x
  2. Step 2: Convert to fraction form
    423,386.80/584,269.81 = 232,396.09/x
  3. Step 3: Cross multiply
    423,386.80x = 584,269.81 × 232,396.09
  4. Step 4: Simplify right side
    423,386.80x = 135,782,017,307.38
  5. Step 5: Solve for x
    x = 135,782,017,307.38/423,386.80
  6. Step 6: Final answer
    x = 320,704.42

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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.