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Finding the Fourth Proportional to 299,038.76, 412,670.22 and 163,072.28

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Solution

The fourth proportional to 299,038.76, 412,670.22 and 163,072.28 is: 225,037.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,038.76 : 412,670.22 = 163,072.28 : x
  2. Step 2: Convert to fraction form
    299,038.76/412,670.22 = 163,072.28/x
  3. Step 3: Cross multiply
    299,038.76x = 412,670.22 × 163,072.28
  4. Step 4: Simplify right side
    299,038.76x = 67,295,073,663.50
  5. Step 5: Solve for x
    x = 67,295,073,663.50/299,038.76
  6. Step 6: Final answer
    x = 225,037.96

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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.