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Finding the Fourth Proportional to 714,708.12, 986,309.46 and 392,431.80

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Solution

The fourth proportional to 714,708.12, 986,309.46 and 392,431.80 is: 541,562.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,708.12 : 986,309.46 = 392,431.80 : x
  2. Step 2: Convert to fraction form
    714,708.12/986,309.46 = 392,431.80/x
  3. Step 3: Cross multiply
    714,708.12x = 986,309.46 × 392,431.80
  4. Step 4: Simplify right side
    714,708.12x = 387,059,196,744.83
  5. Step 5: Solve for x
    x = 387,059,196,744.83/714,708.12
  6. Step 6: Final answer
    x = 541,562.61

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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.