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Finding the Fourth Proportional to 532,649.16, 798,976.86 and 177,662.28

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Solution

The fourth proportional to 532,649.16, 798,976.86 and 177,662.28 is: 266,494.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,649.16 : 798,976.86 = 177,662.28 : x
  2. Step 2: Convert to fraction form
    532,649.16/798,976.86 = 177,662.28/x
  3. Step 3: Cross multiply
    532,649.16x = 798,976.86 × 177,662.28
  4. Step 4: Simplify right side
    532,649.16x = 141,948,050,614.84
  5. Step 5: Solve for x
    x = 141,948,050,614.84/532,649.16
  6. Step 6: Final answer
    x = 266,494.46

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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.