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Finding the Fourth Proportional to 356,411.16, 491,847.78 and 193,068.04

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Solution

The fourth proportional to 356,411.16, 491,847.78 and 193,068.04 is: 266,434.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,411.16 : 491,847.78 = 193,068.04 : x
  2. Step 2: Convert to fraction form
    356,411.16/491,847.78 = 193,068.04/x
  3. Step 3: Cross multiply
    356,411.16x = 491,847.78 × 193,068.04
  4. Step 4: Simplify right side
    356,411.16x = 94,960,086,862.95
  5. Step 5: Solve for x
    x = 94,960,086,862.95/356,411.16
  6. Step 6: Final answer
    x = 266,434.10

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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.