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Finding the Fourth Proportional to 326,077.60, 489,116.40 and 89,444.20

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Solution

The fourth proportional to 326,077.60, 489,116.40 and 89,444.20 is: 134,166.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,077.60 : 489,116.40 = 89,444.20 : x
  2. Step 2: Convert to fraction form
    326,077.60/489,116.40 = 89,444.20/x
  3. Step 3: Cross multiply
    326,077.60x = 489,116.40 × 89,444.20
  4. Step 4: Simplify right side
    326,077.60x = 43,748,625,104.88
  5. Step 5: Solve for x
    x = 43,748,625,104.88/326,077.60
  6. Step 6: Final answer
    x = 134,166.30

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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.