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Finding the Fourth Proportional to 356,649.30, 534,780.77 and 156,735.66

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Solution

The fourth proportional to 356,649.30, 534,780.77 and 156,735.66 is: 235,018.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,649.30 : 534,780.77 = 156,735.66 : x
  2. Step 2: Convert to fraction form
    356,649.30/534,780.77 = 156,735.66/x
  3. Step 3: Cross multiply
    356,649.30x = 534,780.77 × 156,735.66
  4. Step 4: Simplify right side
    356,649.30x = 83,819,216,941.26
  5. Step 5: Solve for x
    x = 83,819,216,941.26/356,649.30
  6. Step 6: Final answer
    x = 235,018.59

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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.