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Finding the Fourth Proportional to 323,127, 445,925.52 and 202,229.64

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Solution

The fourth proportional to 323,127, 445,925.52 and 202,229.64 is: 279,083.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,127 : 445,925.52 = 202,229.64 : x
  2. Step 2: Convert to fraction form
    323,127/445,925.52 = 202,229.64/x
  3. Step 3: Cross multiply
    323,127x = 445,925.52 × 202,229.64
  4. Step 4: Simplify right side
    323,127x = 90,179,357,376.41
  5. Step 5: Solve for x
    x = 90,179,357,376.41/323,127
  6. Step 6: Final answer
    x = 279,083.32

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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.