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Finding the Fourth Proportional to 714,186.76, 986,039.42 and 442,542.92

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Solution

The fourth proportional to 714,186.76, 986,039.42 and 442,542.92 is: 610,995.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,186.76 : 986,039.42 = 442,542.92 : x
  2. Step 2: Convert to fraction form
    714,186.76/986,039.42 = 442,542.92/x
  3. Step 3: Cross multiply
    714,186.76x = 986,039.42 × 442,542.92
  4. Step 4: Simplify right side
    714,186.76x = 436,364,764,161.91
  5. Step 5: Solve for x
    x = 436,364,764,161.91/714,186.76
  6. Step 6: Final answer
    x = 610,995.31

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Double scale
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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.