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Finding the Fourth Proportional to 298,927.44, 412,507.08 and 162,958.14

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Solution

The fourth proportional to 298,927.44, 412,507.08 and 162,958.14 is: 224,875.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,927.44 : 412,507.08 = 162,958.14 : x
  2. Step 2: Convert to fraction form
    298,927.44/412,507.08 = 162,958.14/x
  3. Step 3: Cross multiply
    298,927.44x = 412,507.08 × 162,958.14
  4. Step 4: Simplify right side
    298,927.44x = 67,221,386,493.63
  5. Step 5: Solve for x
    x = 67,221,386,493.63/298,927.44
  6. Step 6: Final answer
    x = 224,875.26

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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.