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Finding the Fourth Proportional to 498,445.76, 747,483.96 and 178,547.80

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Solution

The fourth proportional to 498,445.76, 747,483.96 and 178,547.80 is: 267,755.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,445.76 : 747,483.96 = 178,547.80 : x
  2. Step 2: Convert to fraction form
    498,445.76/747,483.96 = 178,547.80/x
  3. Step 3: Cross multiply
    498,445.76x = 747,483.96 × 178,547.80
  4. Step 4: Simplify right side
    498,445.76x = 133,461,616,593.29
  5. Step 5: Solve for x
    x = 133,461,616,593.29/498,445.76
  6. Step 6: Final answer
    x = 267,755.55

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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.