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Finding the Fourth Proportional to 524,031.32, 722,649.50 and 332,712.56

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Solution

The fourth proportional to 524,031.32, 722,649.50 and 332,712.56 is: 458,817.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,031.32 : 722,649.50 = 332,712.56 : x
  2. Step 2: Convert to fraction form
    524,031.32/722,649.50 = 332,712.56/x
  3. Step 3: Cross multiply
    524,031.32x = 722,649.50 × 332,712.56
  4. Step 4: Simplify right side
    524,031.32x = 240,434,566,518.45
  5. Step 5: Solve for x
    x = 240,434,566,518.45/524,031.32
  6. Step 6: Final answer
    x = 458,817.17

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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.