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Finding the Fourth Proportional to 497,707.68, 746,712.16 and 177,817.60

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Solution

The fourth proportional to 497,707.68, 746,712.16 and 177,817.60 is: 266,780.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,707.68 : 746,712.16 = 177,817.60 : x
  2. Step 2: Convert to fraction form
    497,707.68/746,712.16 = 177,817.60/x
  3. Step 3: Cross multiply
    497,707.68x = 746,712.16 × 177,817.60
  4. Step 4: Simplify right side
    497,707.68x = 132,778,564,182.02
  5. Step 5: Solve for x
    x = 132,778,564,182.02/497,707.68
  6. Step 6: Final answer
    x = 266,780.22

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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.