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Finding the Fourth Proportional to 354,409.32, 531,703.80 and 117,753.24

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Solution

The fourth proportional to 354,409.32, 531,703.80 and 117,753.24 is: 176,659.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,409.32 : 531,703.80 = 117,753.24 : x
  2. Step 2: Convert to fraction form
    354,409.32/531,703.80 = 117,753.24/x
  3. Step 3: Cross multiply
    354,409.32x = 531,703.80 × 117,753.24
  4. Step 4: Simplify right side
    354,409.32x = 62,609,845,170.31
  5. Step 5: Solve for x
    x = 62,609,845,170.31/354,409.32
  6. Step 6: Final answer
    x = 176,659.70

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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.