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Finding the Fourth Proportional to 456,005.40, 684,008.10 and 267,048.60

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Solution

The fourth proportional to 456,005.40, 684,008.10 and 267,048.60 is: 400,572.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,005.40 : 684,008.10 = 267,048.60 : x
  2. Step 2: Convert to fraction form
    456,005.40/684,008.10 = 267,048.60/x
  3. Step 3: Cross multiply
    456,005.40x = 684,008.10 × 267,048.60
  4. Step 4: Simplify right side
    456,005.40x = 182,663,405,493.66
  5. Step 5: Solve for x
    x = 182,663,405,493.66/456,005.40
  6. Step 6: Final answer
    x = 400,572.90

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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.