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Finding the Fourth Proportional to 614,338.43, 847,684.24 and 342,346.70

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Solution

The fourth proportional to 614,338.43, 847,684.24 and 342,346.70 is: 472,381.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,338.43 : 847,684.24 = 342,346.70 : x
  2. Step 2: Convert to fraction form
    614,338.43/847,684.24 = 342,346.70/x
  3. Step 3: Cross multiply
    614,338.43x = 847,684.24 × 342,346.70
  4. Step 4: Simplify right side
    614,338.43x = 290,201,903,469.35
  5. Step 5: Solve for x
    x = 290,201,903,469.35/614,338.43
  6. Step 6: Final answer
    x = 472,381.17

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1.5x scale

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.