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Finding the Fourth Proportional to 725,271.90, 1,000,816.71 and 419,367.90

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Solution

The fourth proportional to 725,271.90, 1,000,816.71 and 419,367.90 is: 578,693.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,271.90 : 1,000,816.71 = 419,367.90 : x
  2. Step 2: Convert to fraction form
    725,271.90/1,000,816.71 = 419,367.90/x
  3. Step 3: Cross multiply
    725,271.90x = 1,000,816.71 × 419,367.90
  4. Step 4: Simplify right side
    725,271.90x = 419,710,401,957.61
  5. Step 5: Solve for x
    x = 419,710,401,957.61/725,271.90
  6. Step 6: Final answer
    x = 578,693.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.