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Finding the Fourth Proportional to 409,774.25, 614,448.11 and 156,978.92

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Solution

The fourth proportional to 409,774.25, 614,448.11 and 156,978.92 is: 235,386.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,774.25 : 614,448.11 = 156,978.92 : x
  2. Step 2: Convert to fraction form
    409,774.25/614,448.11 = 156,978.92/x
  3. Step 3: Cross multiply
    409,774.25x = 614,448.11 × 156,978.92
  4. Step 4: Simplify right side
    409,774.25x = 96,455,396,846.71
  5. Step 5: Solve for x
    x = 96,455,396,846.71/409,774.25
  6. Step 6: Final answer
    x = 235,386.67

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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.