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Finding the Fourth Proportional to 437,164.32, 655,806.11 and 152,788.86

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Solution

The fourth proportional to 437,164.32, 655,806.11 and 152,788.86 is: 229,204.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,164.32 : 655,806.11 = 152,788.86 : x
  2. Step 2: Convert to fraction form
    437,164.32/655,806.11 = 152,788.86/x
  3. Step 3: Cross multiply
    437,164.32x = 655,806.11 × 152,788.86
  4. Step 4: Simplify right side
    437,164.32x = 100,199,867,927.94
  5. Step 5: Solve for x
    x = 100,199,867,927.94/437,164.32
  6. Step 6: Final answer
    x = 229,204.13

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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.