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Finding the Fourth Proportional to 650,326.80, 974,834.10 and 295,595.40

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Solution

The fourth proportional to 650,326.80, 974,834.10 and 295,595.40 is: 443,094.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,326.80 : 974,834.10 = 295,595.40 : x
  2. Step 2: Convert to fraction form
    650,326.80/974,834.10 = 295,595.40/x
  3. Step 3: Cross multiply
    650,326.80x = 974,834.10 × 295,595.40
  4. Step 4: Simplify right side
    650,326.80x = 288,156,475,723.14
  5. Step 5: Solve for x
    x = 288,156,475,723.14/650,326.80
  6. Step 6: Final answer
    x = 443,094.88

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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.