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Finding the Fourth Proportional to 299,029.74, 412,671.01 and 163,071.13

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Solution

The fourth proportional to 299,029.74, 412,671.01 and 163,071.13 is: 225,043.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,029.74 : 412,671.01 = 163,071.13 : x
  2. Step 2: Convert to fraction form
    299,029.74/412,671.01 = 163,071.13/x
  3. Step 3: Cross multiply
    299,029.74x = 412,671.01 × 163,071.13
  4. Step 4: Simplify right side
    299,029.74x = 67,294,728,598.06
  5. Step 5: Solve for x
    x = 67,294,728,598.06/299,029.74
  6. Step 6: Final answer
    x = 225,043.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.