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Finding the Fourth Proportional to 584,715.06, 806,906.88 and 316,443.06

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Solution

The fourth proportional to 584,715.06, 806,906.88 and 316,443.06 is: 436,691.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,715.06 : 806,906.88 = 316,443.06 : x
  2. Step 2: Convert to fraction form
    584,715.06/806,906.88 = 316,443.06/x
  3. Step 3: Cross multiply
    584,715.06x = 806,906.88 × 316,443.06
  4. Step 4: Simplify right side
    584,715.06x = 255,340,082,242.25
  5. Step 5: Solve for x
    x = 255,340,082,242.25/584,715.06
  6. Step 6: Final answer
    x = 436,691.48

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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.