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Finding the Fourth Proportional to 343,193.25, 473,606.70 and 209,057.25

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Solution

The fourth proportional to 343,193.25, 473,606.70 and 209,057.25 is: 288,499.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,193.25 : 473,606.70 = 209,057.25 : x
  2. Step 2: Convert to fraction form
    343,193.25/473,606.70 = 209,057.25/x
  3. Step 3: Cross multiply
    343,193.25x = 473,606.70 × 209,057.25
  4. Step 4: Simplify right side
    343,193.25x = 99,010,914,283.58
  5. Step 5: Solve for x
    x = 99,010,914,283.58/343,193.25
  6. Step 6: Final answer
    x = 288,499.01

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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.