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Finding the Fourth Proportional to 322,432.51, 444,921.51 and 186,445.93

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Solution

The fourth proportional to 322,432.51, 444,921.51 and 186,445.93 is: 257,274.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,432.51 : 444,921.51 = 186,445.93 : x
  2. Step 2: Convert to fraction form
    322,432.51/444,921.51 = 186,445.93/x
  3. Step 3: Cross multiply
    322,432.51x = 444,921.51 × 186,445.93
  4. Step 4: Simplify right side
    322,432.51x = 82,953,804,708.95
  5. Step 5: Solve for x
    x = 82,953,804,708.95/322,432.51
  6. Step 6: Final answer
    x = 257,274.94

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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.