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Finding the Fourth Proportional to 417,846.40, 626,510.40 and 240,265.60

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Solution

The fourth proportional to 417,846.40, 626,510.40 and 240,265.60 is: 360,249.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,846.40 : 626,510.40 = 240,265.60 : x
  2. Step 2: Convert to fraction form
    417,846.40/626,510.40 = 240,265.60/x
  3. Step 3: Cross multiply
    417,846.40x = 626,510.40 × 240,265.60
  4. Step 4: Simplify right side
    417,846.40x = 150,528,897,162.24
  5. Step 5: Solve for x
    x = 150,528,897,162.24/417,846.40
  6. Step 6: Final answer
    x = 360,249.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.