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Finding the Fourth Proportional to 397,922.44, 596,864.22 and 148,585

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Solution

The fourth proportional to 397,922.44, 596,864.22 and 148,585 is: 222,870.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,922.44 : 596,864.22 = 148,585 : x
  2. Step 2: Convert to fraction form
    397,922.44/596,864.22 = 148,585/x
  3. Step 3: Cross multiply
    397,922.44x = 596,864.22 × 148,585
  4. Step 4: Simplify right side
    397,922.44x = 88,685,070,128.70
  5. Step 5: Solve for x
    x = 88,685,070,128.70/397,922.44
  6. Step 6: Final answer
    x = 222,870.24

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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.