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Finding the Fourth Proportional to 343,663.15, 515,541.59 and 199,636.65

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Solution

The fourth proportional to 343,663.15, 515,541.59 and 199,636.65 is: 299,482.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,663.15 : 515,541.59 = 199,636.65 : x
  2. Step 2: Convert to fraction form
    343,663.15/515,541.59 = 199,636.65/x
  3. Step 3: Cross multiply
    343,663.15x = 515,541.59 × 199,636.65
  4. Step 4: Simplify right side
    343,663.15x = 102,920,995,963.27
  5. Step 5: Solve for x
    x = 102,920,995,963.27/343,663.15
  6. Step 6: Final answer
    x = 299,482.20

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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.