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Finding the Fourth Proportional to 345,159.66, 476,193.92 and 209,095.46

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Solution

The fourth proportional to 345,159.66, 476,193.92 and 209,095.46 is: 288,475.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,159.66 : 476,193.92 = 209,095.46 : x
  2. Step 2: Convert to fraction form
    345,159.66/476,193.92 = 209,095.46/x
  3. Step 3: Cross multiply
    345,159.66x = 476,193.92 × 209,095.46
  4. Step 4: Simplify right side
    345,159.66x = 99,569,984,370.63
  5. Step 5: Solve for x
    x = 99,569,984,370.63/345,159.66
  6. Step 6: Final answer
    x = 288,475.15

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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.