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Finding the Fourth Proportional to 394,667.41, 592,038.52 and 110,357.96

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Solution

The fourth proportional to 394,667.41, 592,038.52 and 110,357.96 is: 165,547.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,667.41 : 592,038.52 = 110,357.96 : x
  2. Step 2: Convert to fraction form
    394,667.41/592,038.52 = 110,357.96/x
  3. Step 3: Cross multiply
    394,667.41x = 592,038.52 × 110,357.96
  4. Step 4: Simplify right side
    394,667.41x = 65,336,163,308.62
  5. Step 5: Solve for x
    x = 65,336,163,308.62/394,667.41
  6. Step 6: Final answer
    x = 165,547.40

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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.