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Finding the Fourth Proportional to 402,190.44, 603,363.42 and 152,853

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Solution

The fourth proportional to 402,190.44, 603,363.42 and 152,853 is: 229,309.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,190.44 : 603,363.42 = 152,853 : x
  2. Step 2: Convert to fraction form
    402,190.44/603,363.42 = 152,853/x
  3. Step 3: Cross multiply
    402,190.44x = 603,363.42 × 152,853
  4. Step 4: Simplify right side
    402,190.44x = 92,225,908,837.26
  5. Step 5: Solve for x
    x = 92,225,908,837.26/402,190.44
  6. Step 6: Final answer
    x = 229,309.05

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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.