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Finding the Fourth Proportional to 464,081.32, 696,209.10 and 148,453.48

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Solution

The fourth proportional to 464,081.32, 696,209.10 and 148,453.48 is: 222,708.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,081.32 : 696,209.10 = 148,453.48 : x
  2. Step 2: Convert to fraction form
    464,081.32/696,209.10 = 148,453.48/x
  3. Step 3: Cross multiply
    464,081.32x = 696,209.10 × 148,453.48
  4. Step 4: Simplify right side
    464,081.32x = 103,354,663,702.67
  5. Step 5: Solve for x
    x = 103,354,663,702.67/464,081.32
  6. Step 6: Final answer
    x = 222,708.09

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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.