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Finding the Fourth Proportional to 659,122.92, 988,596.90 and 185,846.40

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Solution

The fourth proportional to 659,122.92, 988,596.90 and 185,846.40 is: 278,744.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,122.92 : 988,596.90 = 185,846.40 : x
  2. Step 2: Convert to fraction form
    659,122.92/988,596.90 = 185,846.40/x
  3. Step 3: Cross multiply
    659,122.92x = 988,596.90 × 185,846.40
  4. Step 4: Simplify right side
    659,122.92x = 183,727,174,916.16
  5. Step 5: Solve for x
    x = 183,727,174,916.16/659,122.92
  6. Step 6: Final answer
    x = 278,744.93

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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.