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Finding the Fourth Proportional to 299,246.82, 448,495.47 and 149,529.12

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Solution

The fourth proportional to 299,246.82, 448,495.47 and 149,529.12 is: 224,106.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,246.82 : 448,495.47 = 149,529.12 : x
  2. Step 2: Convert to fraction form
    299,246.82/448,495.47 = 149,529.12/x
  3. Step 3: Cross multiply
    299,246.82x = 448,495.47 × 149,529.12
  4. Step 4: Simplify right side
    299,246.82x = 67,063,132,953.09
  5. Step 5: Solve for x
    x = 67,063,132,953.09/299,246.82
  6. Step 6: Final answer
    x = 224,106.42

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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.