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Finding the Fourth Proportional to 457,095.68, 685,834.90 and 200,796.06

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Solution

The fourth proportional to 457,095.68, 685,834.90 and 200,796.06 is: 301,278.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,095.68 : 685,834.90 = 200,796.06 : x
  2. Step 2: Convert to fraction form
    457,095.68/685,834.90 = 200,796.06/x
  3. Step 3: Cross multiply
    457,095.68x = 685,834.90 × 200,796.06
  4. Step 4: Simplify right side
    457,095.68x = 137,712,949,071.04
  5. Step 5: Solve for x
    x = 137,712,949,071.04/457,095.68
  6. Step 6: Final answer
    x = 301,278.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.