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Finding the Fourth Proportional to 714,262.53, 985,710.70 and 391,984.26

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Solution

The fourth proportional to 714,262.53, 985,710.70 and 391,984.26 is: 540,953.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,262.53 : 985,710.70 = 391,984.26 : x
  2. Step 2: Convert to fraction form
    714,262.53/985,710.70 = 391,984.26/x
  3. Step 3: Cross multiply
    714,262.53x = 985,710.70 × 391,984.26
  4. Step 4: Simplify right side
    714,262.53x = 386,383,079,313.58
  5. Step 5: Solve for x
    x = 386,383,079,313.58/714,262.53
  6. Step 6: Final answer
    x = 540,953.87

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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.