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Finding the Fourth Proportional to 532,649.76, 798,977.66 and 177,662.81

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Solution

The fourth proportional to 532,649.76, 798,977.66 and 177,662.81 is: 266,495.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,649.76 : 798,977.66 = 177,662.81 : x
  2. Step 2: Convert to fraction form
    532,649.76/798,977.66 = 177,662.81/x
  3. Step 3: Cross multiply
    532,649.76x = 798,977.66 × 177,662.81
  4. Step 4: Simplify right side
    532,649.76x = 141,948,611,319.62
  5. Step 5: Solve for x
    x = 141,948,611,319.62/532,649.76
  6. Step 6: Final answer
    x = 266,495.21

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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.