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Finding the Fourth Proportional to 714,970.64, 986,658.90 and 392,689.46

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Solution

The fourth proportional to 714,970.64, 986,658.90 and 392,689.46 is: 541,911.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,970.64 : 986,658.90 = 392,689.46 : x
  2. Step 2: Convert to fraction form
    714,970.64/986,658.90 = 392,689.46/x
  3. Step 3: Cross multiply
    714,970.64x = 986,658.90 × 392,689.46
  4. Step 4: Simplify right side
    714,970.64x = 387,450,550,645.19
  5. Step 5: Solve for x
    x = 387,450,550,645.19/714,970.64
  6. Step 6: Final answer
    x = 541,911.13

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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.