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Finding the Fourth Proportional to 315,872.32, 473,788.96 and 105,492.64

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Solution

The fourth proportional to 315,872.32, 473,788.96 and 105,492.64 is: 158,232.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,872.32 : 473,788.96 = 105,492.64 : x
  2. Step 2: Convert to fraction form
    315,872.32/473,788.96 = 105,492.64/x
  3. Step 3: Cross multiply
    315,872.32x = 473,788.96 × 105,492.64
  4. Step 4: Simplify right side
    315,872.32x = 49,981,248,193.25
  5. Step 5: Solve for x
    x = 49,981,248,193.25/315,872.32
  6. Step 6: Final answer
    x = 158,232.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.