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Finding the Fourth Proportional to 417,471.82, 576,111.32 and 226,485.16

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Solution

The fourth proportional to 417,471.82, 576,111.32 and 226,485.16 is: 312,549.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,471.82 : 576,111.32 = 226,485.16 : x
  2. Step 2: Convert to fraction form
    417,471.82/576,111.32 = 226,485.16/x
  3. Step 3: Cross multiply
    417,471.82x = 576,111.32 × 226,485.16
  4. Step 4: Simplify right side
    417,471.82x = 130,480,663,355.59
  5. Step 5: Solve for x
    x = 130,480,663,355.59/417,471.82
  6. Step 6: Final answer
    x = 312,549.63

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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.