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Finding the Fourth Proportional to 486,020.40, 729,030.60 and 299,137.20

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Solution

The fourth proportional to 486,020.40, 729,030.60 and 299,137.20 is: 448,705.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,020.40 : 729,030.60 = 299,137.20 : x
  2. Step 2: Convert to fraction form
    486,020.40/729,030.60 = 299,137.20/x
  3. Step 3: Cross multiply
    486,020.40x = 729,030.60 × 299,137.20
  4. Step 4: Simplify right side
    486,020.40x = 218,080,172,398.32
  5. Step 5: Solve for x
    x = 218,080,172,398.32/486,020.40
  6. Step 6: Final answer
    x = 448,705.80

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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.