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Finding the Fourth Proportional to 650,117.34, 974,363.78 and 313,095.38

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Solution

The fourth proportional to 650,117.34, 974,363.78 and 313,095.38 is: 469,251.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,117.34 : 974,363.78 = 313,095.38 : x
  2. Step 2: Convert to fraction form
    650,117.34/974,363.78 = 313,095.38/x
  3. Step 3: Cross multiply
    650,117.34x = 974,363.78 × 313,095.38
  4. Step 4: Simplify right side
    650,117.34x = 305,068,793,868.26
  5. Step 5: Solve for x
    x = 305,068,793,868.26/650,117.34
  6. Step 6: Final answer
    x = 469,251.90

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1.5x scale

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.