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Finding the Fourth Proportional to 409,416.46, 614,124.69 and 159,923.50

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Solution

The fourth proportional to 409,416.46, 614,124.69 and 159,923.50 is: 239,885.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,416.46 : 614,124.69 = 159,923.50 : x
  2. Step 2: Convert to fraction form
    409,416.46/614,124.69 = 159,923.50/x
  3. Step 3: Cross multiply
    409,416.46x = 614,124.69 × 159,923.50
  4. Step 4: Simplify right side
    409,416.46x = 98,212,969,861.22
  5. Step 5: Solve for x
    x = 98,212,969,861.22/409,416.46
  6. Step 6: Final answer
    x = 239,885.25

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1.5x scale

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.