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Finding the Fourth Proportional to 468,508.20, 646,541.10 and 253,648.14

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Solution

The fourth proportional to 468,508.20, 646,541.10 and 253,648.14 is: 350,034.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,508.20 : 646,541.10 = 253,648.14 : x
  2. Step 2: Convert to fraction form
    468,508.20/646,541.10 = 253,648.14/x
  3. Step 3: Cross multiply
    468,508.20x = 646,541.10 × 253,648.14
  4. Step 4: Simplify right side
    468,508.20x = 163,993,947,448.55
  5. Step 5: Solve for x
    x = 163,993,947,448.55/468,508.20
  6. Step 6: Final answer
    x = 350,034.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.