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Finding the Fourth Proportional to 395,242.24, 592,902.24 and 145,865.92

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Solution

The fourth proportional to 395,242.24, 592,902.24 and 145,865.92 is: 218,813.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,242.24 : 592,902.24 = 145,865.92 : x
  2. Step 2: Convert to fraction form
    395,242.24/592,902.24 = 145,865.92/x
  3. Step 3: Cross multiply
    395,242.24x = 592,902.24 × 145,865.92
  4. Step 4: Simplify right side
    395,242.24x = 86,484,230,707.66
  5. Step 5: Solve for x
    x = 86,484,230,707.66/395,242.24
  6. Step 6: Final answer
    x = 218,813.23

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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.