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Finding the Fourth Proportional to 316,031.16, 473,976.54 and 91,342.56

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Solution

The fourth proportional to 316,031.16, 473,976.54 and 91,342.56 is: 136,993.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,031.16 : 473,976.54 = 91,342.56 : x
  2. Step 2: Convert to fraction form
    316,031.16/473,976.54 = 91,342.56/x
  3. Step 3: Cross multiply
    316,031.16x = 473,976.54 × 91,342.56
  4. Step 4: Simplify right side
    316,031.16x = 43,294,230,543.54
  5. Step 5: Solve for x
    x = 43,294,230,543.54/316,031.16
  6. Step 6: Final answer
    x = 136,993.55

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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.