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Finding the Fourth Proportional to 486,029.06, 729,065.68 and 149,045.06

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Solution

The fourth proportional to 486,029.06, 729,065.68 and 149,045.06 is: 223,574.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,029.06 : 729,065.68 = 149,045.06 : x
  2. Step 2: Convert to fraction form
    486,029.06/729,065.68 = 149,045.06/x
  3. Step 3: Cross multiply
    486,029.06x = 729,065.68 × 149,045.06
  4. Step 4: Simplify right side
    486,029.06x = 108,663,638,019.54
  5. Step 5: Solve for x
    x = 108,663,638,019.54/486,029.06
  6. Step 6: Final answer
    x = 223,574.36

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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.