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Finding the Fourth Proportional to 343,046.81, 473,404.60 and 208,910.81

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Solution

The fourth proportional to 343,046.81, 473,404.60 and 208,910.81 is: 288,296.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,046.81 : 473,404.60 = 208,910.81 : x
  2. Step 2: Convert to fraction form
    343,046.81/473,404.60 = 208,910.81/x
  3. Step 3: Cross multiply
    343,046.81x = 473,404.60 × 208,910.81
  4. Step 4: Simplify right side
    343,046.81x = 98,899,339,888.38
  5. Step 5: Solve for x
    x = 98,899,339,888.38/343,046.81
  6. Step 6: Final answer
    x = 288,296.92

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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.