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Finding the Fourth Proportional to 394,853.52, 592,017.84 and 217,444.08

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Solution

The fourth proportional to 394,853.52, 592,017.84 and 217,444.08 is: 326,021.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,853.52 : 592,017.84 = 217,444.08 : x
  2. Step 2: Convert to fraction form
    394,853.52/592,017.84 = 217,444.08/x
  3. Step 3: Cross multiply
    394,853.52x = 592,017.84 × 217,444.08
  4. Step 4: Simplify right side
    394,853.52x = 128,730,774,562.39
  5. Step 5: Solve for x
    x = 128,730,774,562.39/394,853.52
  6. Step 6: Final answer
    x = 326,021.60

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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.