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Finding the Fourth Proportional to 515,889, 711,926.82 and 289,534.50

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Solution

The fourth proportional to 515,889, 711,926.82 and 289,534.50 is: 399,557.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,889 : 711,926.82 = 289,534.50 : x
  2. Step 2: Convert to fraction form
    515,889/711,926.82 = 289,534.50/x
  3. Step 3: Cross multiply
    515,889x = 711,926.82 × 289,534.50
  4. Step 4: Simplify right side
    515,889x = 206,127,375,865.29
  5. Step 5: Solve for x
    x = 206,127,375,865.29/515,889
  6. Step 6: Final answer
    x = 399,557.61

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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.