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Finding the Fourth Proportional to 356,592.64, 492,113.92 and 203,644.16

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Solution

The fourth proportional to 356,592.64, 492,113.92 and 203,644.16 is: 281,038.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,592.64 : 492,113.92 = 203,644.16 : x
  2. Step 2: Convert to fraction form
    356,592.64/492,113.92 = 203,644.16/x
  3. Step 3: Cross multiply
    356,592.64x = 492,113.92 × 203,644.16
  4. Step 4: Simplify right side
    356,592.64x = 100,216,125,862.71
  5. Step 5: Solve for x
    x = 100,216,125,862.71/356,592.64
  6. Step 6: Final answer
    x = 281,038.12

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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.