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Finding the Fourth Proportional to 499,959.65, 689,943.87 and 282,214.15

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Solution

The fourth proportional to 499,959.65, 689,943.87 and 282,214.15 is: 389,455.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,959.65 : 689,943.87 = 282,214.15 : x
  2. Step 2: Convert to fraction form
    499,959.65/689,943.87 = 282,214.15/x
  3. Step 3: Cross multiply
    499,959.65x = 689,943.87 × 282,214.15
  4. Step 4: Simplify right side
    499,959.65x = 194,711,924,573.48
  5. Step 5: Solve for x
    x = 194,711,924,573.48/499,959.65
  6. Step 6: Final answer
    x = 389,455.28

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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.