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Finding the Fourth Proportional to 514,158.80, 771,007.80 and 198,510.80

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Solution

The fourth proportional to 514,158.80, 771,007.80 and 198,510.80 is: 297,677.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,158.80 : 771,007.80 = 198,510.80 : x
  2. Step 2: Convert to fraction form
    514,158.80/771,007.80 = 198,510.80/x
  3. Step 3: Cross multiply
    514,158.80x = 771,007.80 × 198,510.80
  4. Step 4: Simplify right side
    514,158.80x = 153,053,375,184.24
  5. Step 5: Solve for x
    x = 153,053,375,184.24/514,158.80
  6. Step 6: Final answer
    x = 297,677.25

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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.