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Finding the Fourth Proportional to 714,296.71, 985,698.41 and 392,012.16

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Solution

The fourth proportional to 714,296.71, 985,698.41 and 392,012.16 is: 540,959.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,296.71 : 985,698.41 = 392,012.16 : x
  2. Step 2: Convert to fraction form
    714,296.71/985,698.41 = 392,012.16/x
  3. Step 3: Cross multiply
    714,296.71x = 985,698.41 × 392,012.16
  4. Step 4: Simplify right side
    714,296.71x = 386,405,762,812.67
  5. Step 5: Solve for x
    x = 386,405,762,812.67/714,296.71
  6. Step 6: Final answer
    x = 540,959.74

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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.