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Finding the Fourth Proportional to 408,368.52, 563,465.57 and 238,569.84

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Solution

The fourth proportional to 408,368.52, 563,465.57 and 238,569.84 is: 329,177.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,368.52 : 563,465.57 = 238,569.84 : x
  2. Step 2: Convert to fraction form
    408,368.52/563,465.57 = 238,569.84/x
  3. Step 3: Cross multiply
    408,368.52x = 563,465.57 × 238,569.84
  4. Step 4: Simplify right side
    408,368.52x = 134,425,889,687.56
  5. Step 5: Solve for x
    x = 134,425,889,687.56/408,368.52
  6. Step 6: Final answer
    x = 329,177.89

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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.