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Finding the Fourth Proportional to 3,154,861.65, 4,733,768.70 and 1,640,254.80

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Solution

The fourth proportional to 3,154,861.65, 4,733,768.70 and 1,640,254.80 is: 2,461,149.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154,861.65 : 4,733,768.70 = 1,640,254.80 : x
  2. Step 2: Convert to fraction form
    3,154,861.65/4,733,768.70 = 1,640,254.80/x
  3. Step 3: Cross multiply
    3,154,861.65x = 4,733,768.70 × 1,640,254.80
  4. Step 4: Simplify right side
    3,154,861.65x = 7,764,586,832,264.76
  5. Step 5: Solve for x
    x = 7,764,586,832,264.76/3,154,861.65
  6. Step 6: Final answer
    x = 2,461,149.71

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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.