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Finding the Fourth Proportional to 408,829.32, 564,142.50 and 236,803.12

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Solution

The fourth proportional to 408,829.32, 564,142.50 and 236,803.12 is: 326,764.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,829.32 : 564,142.50 = 236,803.12 : x
  2. Step 2: Convert to fraction form
    408,829.32/564,142.50 = 236,803.12/x
  3. Step 3: Cross multiply
    408,829.32x = 564,142.50 × 236,803.12
  4. Step 4: Simplify right side
    408,829.32x = 133,590,704,124.60
  5. Step 5: Solve for x
    x = 133,590,704,124.60/408,829.32
  6. Step 6: Final answer
    x = 326,764.00

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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.