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Finding the Fourth Proportional to 357,892.64, 493,901.28 and 194,560.13

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Solution

The fourth proportional to 357,892.64, 493,901.28 and 194,560.13 is: 268,498.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,892.64 : 493,901.28 = 194,560.13 : x
  2. Step 2: Convert to fraction form
    357,892.64/493,901.28 = 194,560.13/x
  3. Step 3: Cross multiply
    357,892.64x = 493,901.28 × 194,560.13
  4. Step 4: Simplify right side
    357,892.64x = 96,093,494,774.46
  5. Step 5: Solve for x
    x = 96,093,494,774.46/357,892.64
  6. Step 6: Final answer
    x = 268,498.11

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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.