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Finding the Fourth Proportional to 315,941.34, 473,995.08 and 113,557.86

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Solution

The fourth proportional to 315,941.34, 473,995.08 and 113,557.86 is: 170,366.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,941.34 : 473,995.08 = 113,557.86 : x
  2. Step 2: Convert to fraction form
    315,941.34/473,995.08 = 113,557.86/x
  3. Step 3: Cross multiply
    315,941.34x = 473,995.08 × 113,557.86
  4. Step 4: Simplify right side
    315,941.34x = 53,825,866,935.33
  5. Step 5: Solve for x
    x = 53,825,866,935.33/315,941.34
  6. Step 6: Final answer
    x = 170,366.65

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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.