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Finding the Fourth Proportional to 306,368, 422,787.84 and 172,232.96

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Solution

The fourth proportional to 306,368, 422,787.84 and 172,232.96 is: 237,681.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,368 : 422,787.84 = 172,232.96 : x
  2. Step 2: Convert to fraction form
    306,368/422,787.84 = 172,232.96/x
  3. Step 3: Cross multiply
    306,368x = 422,787.84 × 172,232.96
  4. Step 4: Simplify right side
    306,368x = 72,818,001,135.21
  5. Step 5: Solve for x
    x = 72,818,001,135.21/306,368
  6. Step 6: Final answer
    x = 237,681.48

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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.