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Finding the Fourth Proportional to 315,914.30, 473,954.54 and 113,530.85

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Solution

The fourth proportional to 315,914.30, 473,954.54 and 113,530.85 is: 170,326.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,914.30 : 473,954.54 = 113,530.85 : x
  2. Step 2: Convert to fraction form
    315,914.30/473,954.54 = 113,530.85/x
  3. Step 3: Cross multiply
    315,914.30x = 473,954.54 × 113,530.85
  4. Step 4: Simplify right side
    315,914.30x = 53,808,458,850.13
  5. Step 5: Solve for x
    x = 53,808,458,850.13/315,914.30
  6. Step 6: Final answer
    x = 170,326.13

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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.