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Finding the Fourth Proportional to 409,698.46, 614,126.76 and 156,919.60

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Solution

The fourth proportional to 409,698.46, 614,126.76 and 156,919.60 is: 235,218.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,698.46 : 614,126.76 = 156,919.60 : x
  2. Step 2: Convert to fraction form
    409,698.46/614,126.76 = 156,919.60/x
  3. Step 3: Cross multiply
    409,698.46x = 614,126.76 × 156,919.60
  4. Step 4: Simplify right side
    409,698.46x = 96,368,525,528.50
  5. Step 5: Solve for x
    x = 96,368,525,528.50/409,698.46
  6. Step 6: Final answer
    x = 235,218.18

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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.