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Finding the Fourth Proportional to 315,876.32, 473,794.96 and 105,496.64

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Solution

The fourth proportional to 315,876.32, 473,794.96 and 105,496.64 is: 158,238.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,876.32 : 473,794.96 = 105,496.64 : x
  2. Step 2: Convert to fraction form
    315,876.32/473,794.96 = 105,496.64/x
  3. Step 3: Cross multiply
    315,876.32x = 473,794.96 × 105,496.64
  4. Step 4: Simplify right side
    315,876.32x = 49,983,776,328.93
  5. Step 5: Solve for x
    x = 49,983,776,328.93/315,876.32
  6. Step 6: Final answer
    x = 158,238.44

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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.