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Finding the Fourth Proportional to 408,657.72, 563,938.84 and 236,582.96

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Solution

The fourth proportional to 408,657.72, 563,938.84 and 236,582.96 is: 326,479.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,657.72 : 563,938.84 = 236,582.96 : x
  2. Step 2: Convert to fraction form
    408,657.72/563,938.84 = 236,582.96/x
  3. Step 3: Cross multiply
    408,657.72x = 563,938.84 × 236,582.96
  4. Step 4: Simplify right side
    408,657.72x = 133,418,320,026.17
  5. Step 5: Solve for x
    x = 133,418,320,026.17/408,657.72
  6. Step 6: Final answer
    x = 326,479.38

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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.