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Finding the Fourth Proportional to 392,931, 589,396.50 and 143,613

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Solution

The fourth proportional to 392,931, 589,396.50 and 143,613 is: 215,419.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,931 : 589,396.50 = 143,613 : x
  2. Step 2: Convert to fraction form
    392,931/589,396.50 = 143,613/x
  3. Step 3: Cross multiply
    392,931x = 589,396.50 × 143,613
  4. Step 4: Simplify right side
    392,931x = 84,644,999,554.50
  5. Step 5: Solve for x
    x = 84,644,999,554.50/392,931
  6. Step 6: Final answer
    x = 215,419.50

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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.