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Finding the Fourth Proportional to 635,909.44, 952,978.14 and 477,953.68

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Solution

The fourth proportional to 635,909.44, 952,978.14 and 477,953.68 is: 716,264.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,909.44 : 952,978.14 = 477,953.68 : x
  2. Step 2: Convert to fraction form
    635,909.44/952,978.14 = 477,953.68/x
  3. Step 3: Cross multiply
    635,909.44x = 952,978.14 × 477,953.68
  4. Step 4: Simplify right side
    635,909.44x = 455,479,408,972.56
  5. Step 5: Solve for x
    x = 455,479,408,972.56/635,909.44
  6. Step 6: Final answer
    x = 716,264.58

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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.