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Finding the Fourth Proportional to 299,037.16, 448,047.97 and 180,459.34

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Solution

The fourth proportional to 299,037.16, 448,047.97 and 180,459.34 is: 270,382.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,037.16 : 448,047.97 = 180,459.34 : x
  2. Step 2: Convert to fraction form
    299,037.16/448,047.97 = 180,459.34/x
  3. Step 3: Cross multiply
    299,037.16x = 448,047.97 × 180,459.34
  4. Step 4: Simplify right side
    299,037.16x = 80,854,439,383.27
  5. Step 5: Solve for x
    x = 80,854,439,383.27/299,037.16
  6. Step 6: Final answer
    x = 270,382.58

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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.