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Finding the Fourth Proportional to 343,103.48, 473,482.92 and 208,967.48

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Solution

The fourth proportional to 343,103.48, 473,482.92 and 208,967.48 is: 288,375.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,103.48 : 473,482.92 = 208,967.48 : x
  2. Step 2: Convert to fraction form
    343,103.48/473,482.92 = 208,967.48/x
  3. Step 3: Cross multiply
    343,103.48x = 473,482.92 × 208,967.48
  4. Step 4: Simplify right side
    343,103.48x = 98,942,532,615.44
  5. Step 5: Solve for x
    x = 98,942,532,615.44/343,103.48
  6. Step 6: Final answer
    x = 288,375.19

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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.