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Finding the Fourth Proportional to 381,196.96, 526,052.14 and 211,431.08

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Solution

The fourth proportional to 381,196.96, 526,052.14 and 211,431.08 is: 291,775.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,196.96 : 526,052.14 = 211,431.08 : x
  2. Step 2: Convert to fraction form
    381,196.96/526,052.14 = 211,431.08/x
  3. Step 3: Cross multiply
    381,196.96x = 526,052.14 × 211,431.08
  4. Step 4: Simplify right side
    381,196.96x = 111,223,772,096.51
  5. Step 5: Solve for x
    x = 111,223,772,096.51/381,196.96
  6. Step 6: Final answer
    x = 291,775.08

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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.