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Finding the Fourth Proportional to 360,664.74, 497,754.32 and 207,708.66

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Solution

The fourth proportional to 360,664.74, 497,754.32 and 207,708.66 is: 286,659.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,664.74 : 497,754.32 = 207,708.66 : x
  2. Step 2: Convert to fraction form
    360,664.74/497,754.32 = 207,708.66/x
  3. Step 3: Cross multiply
    360,664.74x = 497,754.32 × 207,708.66
  4. Step 4: Simplify right side
    360,664.74x = 103,387,881,777.87
  5. Step 5: Solve for x
    x = 103,387,881,777.87/360,664.74
  6. Step 6: Final answer
    x = 286,659.24

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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.