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Finding the Fourth Proportional to 464,045.16, 695,954.28 and 148,436.76

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Solution

The fourth proportional to 464,045.16, 695,954.28 and 148,436.76 is: 222,618.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,045.16 : 695,954.28 = 148,436.76 : x
  2. Step 2: Convert to fraction form
    464,045.16/695,954.28 = 148,436.76/x
  3. Step 3: Cross multiply
    464,045.16x = 695,954.28 × 148,436.76
  4. Step 4: Simplify right side
    464,045.16x = 103,305,198,431.33
  5. Step 5: Solve for x
    x = 103,305,198,431.33/464,045.16
  6. Step 6: Final answer
    x = 222,618.85

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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.