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Finding the Fourth Proportional to 309,471.36, 427,088.52 and 173,498.64

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Solution

The fourth proportional to 309,471.36, 427,088.52 and 173,498.64 is: 239,438.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,471.36 : 427,088.52 = 173,498.64 : x
  2. Step 2: Convert to fraction form
    309,471.36/427,088.52 = 173,498.64/x
  3. Step 3: Cross multiply
    309,471.36x = 427,088.52 × 173,498.64
  4. Step 4: Simplify right side
    309,471.36x = 74,099,277,379.61
  5. Step 5: Solve for x
    x = 74,099,277,379.61/309,471.36
  6. Step 6: Final answer
    x = 239,438.24

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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.