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Finding the Fourth Proportional to 343,101.48, 473,480.16 and 208,965.48

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Solution

The fourth proportional to 343,101.48, 473,480.16 and 208,965.48 is: 288,372.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,101.48 : 473,480.16 = 208,965.48 : x
  2. Step 2: Convert to fraction form
    343,101.48/473,480.16 = 208,965.48/x
  3. Step 3: Cross multiply
    343,101.48x = 473,480.16 × 208,965.48
  4. Step 4: Simplify right side
    343,101.48x = 98,941,008,904.88
  5. Step 5: Solve for x
    x = 98,941,008,904.88/343,101.48
  6. Step 6: Final answer
    x = 288,372.43

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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.