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Finding the Fourth Proportional to 468,461.57, 646,471.60 and 253,596.92

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Solution

The fourth proportional to 468,461.57, 646,471.60 and 253,596.92 is: 349,960.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,461.57 : 646,471.60 = 253,596.92 : x
  2. Step 2: Convert to fraction form
    468,461.57/646,471.60 = 253,596.92/x
  3. Step 3: Cross multiply
    468,461.57x = 646,471.60 × 253,596.92
  4. Step 4: Simplify right side
    468,461.57x = 163,943,202,761.12
  5. Step 5: Solve for x
    x = 163,943,202,761.12/468,461.57
  6. Step 6: Final answer
    x = 349,960.84

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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.