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Finding the Fourth Proportional to 297,780.30, 446,574.47 and 98,053.13

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Solution

The fourth proportional to 297,780.30, 446,574.47 and 98,053.13 is: 147,048.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,780.30 : 446,574.47 = 98,053.13 : x
  2. Step 2: Convert to fraction form
    297,780.30/446,574.47 = 98,053.13/x
  3. Step 3: Cross multiply
    297,780.30x = 446,574.47 × 98,053.13
  4. Step 4: Simplify right side
    297,780.30x = 43,788,025,187.76
  5. Step 5: Solve for x
    x = 43,788,025,187.76/297,780.30
  6. Step 6: Final answer
    x = 147,048.09

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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.