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Finding the Fourth Proportional to 719,102.80, 992,559.24 and 417,394

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Solution

The fourth proportional to 719,102.80, 992,559.24 and 417,394 is: 576,118.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,102.80 : 992,559.24 = 417,394 : x
  2. Step 2: Convert to fraction form
    719,102.80/992,559.24 = 417,394/x
  3. Step 3: Cross multiply
    719,102.80x = 992,559.24 × 417,394
  4. Step 4: Simplify right side
    719,102.80x = 414,288,271,420.56
  5. Step 5: Solve for x
    x = 414,288,271,420.56/719,102.80
  6. Step 6: Final answer
    x = 576,118.28

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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.