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Finding the Fourth Proportional to 320,650.76, 442,110.48 and 259,461.20

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Solution

The fourth proportional to 320,650.76, 442,110.48 and 259,461.20 is: 357,742.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,650.76 : 442,110.48 = 259,461.20 : x
  2. Step 2: Convert to fraction form
    320,650.76/442,110.48 = 259,461.20/x
  3. Step 3: Cross multiply
    320,650.76x = 442,110.48 × 259,461.20
  4. Step 4: Simplify right side
    320,650.76x = 114,710,515,673.38
  5. Step 5: Solve for x
    x = 114,710,515,673.38/320,650.76
  6. Step 6: Final answer
    x = 357,742.85

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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.