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Finding the Fourth Proportional to 435,920.96, 653,986.83 and 151,570.46

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Solution

The fourth proportional to 435,920.96, 653,986.83 and 151,570.46 is: 227,392.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,920.96 : 653,986.83 = 151,570.46 : x
  2. Step 2: Convert to fraction form
    435,920.96/653,986.83 = 151,570.46/x
  3. Step 3: Cross multiply
    435,920.96x = 653,986.83 × 151,570.46
  4. Step 4: Simplify right side
    435,920.96x = 99,125,084,657.04
  5. Step 5: Solve for x
    x = 99,125,084,657.04/435,920.96
  6. Step 6: Final answer
    x = 227,392.33

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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.