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Finding the Fourth Proportional to 498,407.20, 747,783.60 and 218,125.60

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Solution

The fourth proportional to 498,407.20, 747,783.60 and 218,125.60 is: 327,264.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,407.20 : 747,783.60 = 218,125.60 : x
  2. Step 2: Convert to fraction form
    498,407.20/747,783.60 = 218,125.60/x
  3. Step 3: Cross multiply
    498,407.20x = 747,783.60 × 218,125.60
  4. Step 4: Simplify right side
    498,407.20x = 163,110,746,420.16
  5. Step 5: Solve for x
    x = 163,110,746,420.16/498,407.20
  6. Step 6: Final answer
    x = 327,264.03

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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.