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Finding the Fourth Proportional to 3,154,892.65, 4,733,815.20 and 1,640,285.80

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Solution

The fourth proportional to 3,154,892.65, 4,733,815.20 and 1,640,285.80 is: 2,461,196.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154,892.65 : 4,733,815.20 = 1,640,285.80 : x
  2. Step 2: Convert to fraction form
    3,154,892.65/4,733,815.20 = 1,640,285.80/x
  3. Step 3: Cross multiply
    3,154,892.65x = 4,733,815.20 × 1,640,285.80
  4. Step 4: Simplify right side
    3,154,892.65x = 7,764,809,852,384.16
  5. Step 5: Solve for x
    x = 7,764,809,852,384.16/3,154,892.65
  6. Step 6: Final answer
    x = 2,461,196.22

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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.