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Finding the Fourth Proportional to 319,782.82, 479,590.64 and 95,082.74

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Solution

The fourth proportional to 319,782.82, 479,590.64 and 95,082.74 is: 142,599.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,782.82 : 479,590.64 = 95,082.74 : x
  2. Step 2: Convert to fraction form
    319,782.82/479,590.64 = 95,082.74/x
  3. Step 3: Cross multiply
    319,782.82x = 479,590.64 × 95,082.74
  4. Step 4: Simplify right side
    319,782.82x = 45,600,792,129.55
  5. Step 5: Solve for x
    x = 45,600,792,129.55/319,782.82
  6. Step 6: Final answer
    x = 142,599.26

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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.