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Finding the Fourth Proportional to 299,140.09, 448,335.93 and 149,422.17

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Solution

The fourth proportional to 299,140.09, 448,335.93 and 149,422.17 is: 223,946.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,140.09 : 448,335.93 = 149,422.17 : x
  2. Step 2: Convert to fraction form
    299,140.09/448,335.93 = 149,422.17/x
  3. Step 3: Cross multiply
    299,140.09x = 448,335.93 × 149,422.17
  4. Step 4: Simplify right side
    299,140.09x = 66,991,327,549.57
  5. Step 5: Solve for x
    x = 66,991,327,549.57/299,140.09
  6. Step 6: Final answer
    x = 223,946.34

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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.