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Finding the Fourth Proportional to 497,516.16, 746,274 and 181,800.80

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Solution

The fourth proportional to 497,516.16, 746,274 and 181,800.80 is: 272,701.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,516.16 : 746,274 = 181,800.80 : x
  2. Step 2: Convert to fraction form
    497,516.16/746,274 = 181,800.80/x
  3. Step 3: Cross multiply
    497,516.16x = 746,274 × 181,800.80
  4. Step 4: Simplify right side
    497,516.16x = 135,673,210,219.20
  5. Step 5: Solve for x
    x = 135,673,210,219.20/497,516.16
  6. Step 6: Final answer
    x = 272,701.11

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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.