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Finding the Fourth Proportional to 299,011.20, 448,538.40 and 99,470.40

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Solution

The fourth proportional to 299,011.20, 448,538.40 and 99,470.40 is: 149,212.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,011.20 : 448,538.40 = 99,470.40 : x
  2. Step 2: Convert to fraction form
    299,011.20/448,538.40 = 99,470.40/x
  3. Step 3: Cross multiply
    299,011.20x = 448,538.40 × 99,470.40
  4. Step 4: Simplify right side
    299,011.20x = 44,616,294,063.36
  5. Step 5: Solve for x
    x = 44,616,294,063.36/299,011.20
  6. Step 6: Final answer
    x = 149,212.79

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1.5x scale

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.