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Finding the Fourth Proportional to 423,649.72, 584,636.30 and 232,675.16

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Solution

The fourth proportional to 423,649.72, 584,636.30 and 232,675.16 is: 321,091.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,649.72 : 584,636.30 = 232,675.16 : x
  2. Step 2: Convert to fraction form
    423,649.72/584,636.30 = 232,675.16/x
  3. Step 3: Cross multiply
    423,649.72x = 584,636.30 × 232,675.16
  4. Step 4: Simplify right side
    423,649.72x = 136,030,344,644.31
  5. Step 5: Solve for x
    x = 136,030,344,644.31/423,649.72
  6. Step 6: Final answer
    x = 321,091.55

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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.