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Finding the Fourth Proportional to 343,176.75, 473,583.92 and 209,040.75

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Solution

The fourth proportional to 343,176.75, 473,583.92 and 209,040.75 is: 288,476.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,176.75 : 473,583.92 = 209,040.75 : x
  2. Step 2: Convert to fraction form
    343,176.75/473,583.92 = 209,040.75/x
  3. Step 3: Cross multiply
    343,176.75x = 473,583.92 × 209,040.75
  4. Step 4: Simplify right side
    343,176.75x = 98,998,336,779.54
  5. Step 5: Solve for x
    x = 98,998,336,779.54/343,176.75
  6. Step 6: Final answer
    x = 288,476.24

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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.