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Finding the Fourth Proportional to 461,624.64, 692,431.56 and 146,081.04

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Solution

The fourth proportional to 461,624.64, 692,431.56 and 146,081.04 is: 219,119.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,624.64 : 692,431.56 = 146,081.04 : x
  2. Step 2: Convert to fraction form
    461,624.64/692,431.56 = 146,081.04/x
  3. Step 3: Cross multiply
    461,624.64x = 692,431.56 × 146,081.04
  4. Step 4: Simplify right side
    461,624.64x = 101,151,122,413.62
  5. Step 5: Solve for x
    x = 101,151,122,413.62/461,624.64
  6. Step 6: Final answer
    x = 219,119.85

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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.