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Finding the Fourth Proportional to 650,139.16, 974,858.10 and 294,959.38

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Solution

The fourth proportional to 650,139.16, 974,858.10 and 294,959.38 is: 442,279.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,139.16 : 974,858.10 = 294,959.38 : x
  2. Step 2: Convert to fraction form
    650,139.16/974,858.10 = 294,959.38/x
  3. Step 3: Cross multiply
    650,139.16x = 974,858.10 × 294,959.38
  4. Step 4: Simplify right side
    650,139.16x = 287,543,540,763.98
  5. Step 5: Solve for x
    x = 287,543,540,763.98/650,139.16
  6. Step 6: Final answer
    x = 442,279.99

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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.