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Finding the Fourth Proportional to 343,102.48, 473,481.54 and 208,966.48

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Solution

The fourth proportional to 343,102.48, 473,481.54 and 208,966.48 is: 288,373.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,102.48 : 473,481.54 = 208,966.48 : x
  2. Step 2: Convert to fraction form
    343,102.48/473,481.54 = 208,966.48/x
  3. Step 3: Cross multiply
    343,102.48x = 473,481.54 × 208,966.48
  4. Step 4: Simplify right side
    343,102.48x = 98,941,770,758.78
  5. Step 5: Solve for x
    x = 98,941,770,758.78/343,102.48
  6. Step 6: Final answer
    x = 288,373.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.