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Finding the Fourth Proportional to 369,566.50, 510,001.77 and 199,800.64

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Solution

The fourth proportional to 369,566.50, 510,001.77 and 199,800.64 is: 275,724.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,566.50 : 510,001.77 = 199,800.64 : x
  2. Step 2: Convert to fraction form
    369,566.50/510,001.77 = 199,800.64/x
  3. Step 3: Cross multiply
    369,566.50x = 510,001.77 × 199,800.64
  4. Step 4: Simplify right side
    369,566.50x = 101,898,680,047.13
  5. Step 5: Solve for x
    x = 101,898,680,047.13/369,566.50
  6. Step 6: Final answer
    x = 275,724.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.