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Finding the Fourth Proportional to 498,012, 747,024.48 and 165,588

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Solution

The fourth proportional to 498,012, 747,024.48 and 165,588 is: 248,384.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,012 : 747,024.48 = 165,588 : x
  2. Step 2: Convert to fraction form
    498,012/747,024.48 = 165,588/x
  3. Step 3: Cross multiply
    498,012x = 747,024.48 × 165,588
  4. Step 4: Simplify right side
    498,012x = 123,698,289,594.24
  5. Step 5: Solve for x
    x = 123,698,289,594.24/498,012
  6. Step 6: Final answer
    x = 248,384.15

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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.