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Finding the Fourth Proportional to 464,462.97, 696,527.24 and 160,774.61

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Solution

The fourth proportional to 464,462.97, 696,527.24 and 160,774.61 is: 241,104.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,462.97 : 696,527.24 = 160,774.61 : x
  2. Step 2: Convert to fraction form
    464,462.97/696,527.24 = 160,774.61/x
  3. Step 3: Cross multiply
    464,462.97x = 696,527.24 × 160,774.61
  4. Step 4: Simplify right side
    464,462.97x = 111,983,894,561.50
  5. Step 5: Solve for x
    x = 111,983,894,561.50/464,462.97
  6. Step 6: Final answer
    x = 241,104.03

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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.