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Finding the Fourth Proportional to 389,624.20, 584,494.70 and 164,984.20

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Solution

The fourth proportional to 389,624.20, 584,494.70 and 164,984.20 is: 247,501.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,624.20 : 584,494.70 = 164,984.20 : x
  2. Step 2: Convert to fraction form
    389,624.20/584,494.70 = 164,984.20/x
  3. Step 3: Cross multiply
    389,624.20x = 584,494.70 × 164,984.20
  4. Step 4: Simplify right side
    389,624.20x = 96,432,390,483.74
  5. Step 5: Solve for x
    x = 96,432,390,483.74/389,624.20
  6. Step 6: Final answer
    x = 247,501.03

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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.