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Finding the Fourth Proportional to 683,841.76, 1,026,036.06 and 284,758

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Solution

The fourth proportional to 683,841.76, 1,026,036.06 and 284,758 is: 427,250.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,841.76 : 1,026,036.06 = 284,758 : x
  2. Step 2: Convert to fraction form
    683,841.76/1,026,036.06 = 284,758/x
  3. Step 3: Cross multiply
    683,841.76x = 1,026,036.06 × 284,758
  4. Step 4: Simplify right side
    683,841.76x = 292,171,976,373.48
  5. Step 5: Solve for x
    x = 292,171,976,373.48/683,841.76
  6. Step 6: Final answer
    x = 427,250.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.