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Finding the Fourth Proportional to 611,742.38, 844,228.17 and 339,830.91

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Solution

The fourth proportional to 611,742.38, 844,228.17 and 339,830.91 is: 468,979.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,742.38 : 844,228.17 = 339,830.91 : x
  2. Step 2: Convert to fraction form
    611,742.38/844,228.17 = 339,830.91/x
  3. Step 3: Cross multiply
    611,742.38x = 844,228.17 × 339,830.91
  4. Step 4: Simplify right side
    611,742.38x = 286,894,827,258.74
  5. Step 5: Solve for x
    x = 286,894,827,258.74/611,742.38
  6. Step 6: Final answer
    x = 468,979.82

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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.