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Finding the Fourth Proportional to 314,645.20, 471,967.80 and 93,029.20

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Solution

The fourth proportional to 314,645.20, 471,967.80 and 93,029.20 is: 139,543.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,645.20 : 471,967.80 = 93,029.20 : x
  2. Step 2: Convert to fraction form
    314,645.20/471,967.80 = 93,029.20/x
  3. Step 3: Cross multiply
    314,645.20x = 471,967.80 × 93,029.20
  4. Step 4: Simplify right side
    314,645.20x = 43,906,786,859.76
  5. Step 5: Solve for x
    x = 43,906,786,859.76/314,645.20
  6. Step 6: Final answer
    x = 139,543.80

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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.