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Finding the Fourth Proportional to 514,200.80, 771,070.80 and 198,552.80

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Solution

The fourth proportional to 514,200.80, 771,070.80 and 198,552.80 is: 297,740.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,200.80 : 771,070.80 = 198,552.80 : x
  2. Step 2: Convert to fraction form
    514,200.80/771,070.80 = 198,552.80/x
  3. Step 3: Cross multiply
    514,200.80x = 771,070.80 × 198,552.80
  4. Step 4: Simplify right side
    514,200.80x = 153,098,266,338.24
  5. Step 5: Solve for x
    x = 153,098,266,338.24/514,200.80
  6. Step 6: Final answer
    x = 297,740.23

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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.