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Finding the Fourth Proportional to 526,433.60, 726,478.32 and 284,716.16

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Solution

The fourth proportional to 526,433.60, 726,478.32 and 284,716.16 is: 392,908.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,433.60 : 726,478.32 = 284,716.16 : x
  2. Step 2: Convert to fraction form
    526,433.60/726,478.32 = 284,716.16/x
  3. Step 3: Cross multiply
    526,433.60x = 726,478.32 × 284,716.16
  4. Step 4: Simplify right side
    526,433.60x = 206,840,117,593.65
  5. Step 5: Solve for x
    x = 206,840,117,593.65/526,433.60
  6. Step 6: Final answer
    x = 392,908.27

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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.