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Finding the Fourth Proportional to 515,590.50, 711,506.16 and 289,231.14

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Solution

The fourth proportional to 515,590.50, 711,506.16 and 289,231.14 is: 399,134.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,590.50 : 711,506.16 = 289,231.14 : x
  2. Step 2: Convert to fraction form
    515,590.50/711,506.16 = 289,231.14/x
  3. Step 3: Cross multiply
    515,590.50x = 711,506.16 × 289,231.14
  4. Step 4: Simplify right side
    515,590.50x = 205,789,737,773.82
  5. Step 5: Solve for x
    x = 205,789,737,773.82/515,590.50
  6. Step 6: Final answer
    x = 399,134.08

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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.