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Finding the Fourth Proportional to 315,925.75, 473,971.61 and 113,542.28

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Solution

The fourth proportional to 315,925.75, 473,971.61 and 113,542.28 is: 170,343.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,925.75 : 473,971.61 = 113,542.28 : x
  2. Step 2: Convert to fraction form
    315,925.75/473,971.61 = 113,542.28/x
  3. Step 3: Cross multiply
    315,925.75x = 473,971.61 × 113,542.28
  4. Step 4: Simplify right side
    315,925.75x = 53,815,816,686.96
  5. Step 5: Solve for x
    x = 53,815,816,686.96/315,925.75
  6. Step 6: Final answer
    x = 170,343.24

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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.