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Finding the Fourth Proportional to 341,207.32, 470,713.84 and 197,884.36

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Solution

The fourth proportional to 341,207.32, 470,713.84 and 197,884.36 is: 272,992.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,207.32 : 470,713.84 = 197,884.36 : x
  2. Step 2: Convert to fraction form
    341,207.32/470,713.84 = 197,884.36/x
  3. Step 3: Cross multiply
    341,207.32x = 470,713.84 × 197,884.36
  4. Step 4: Simplify right side
    341,207.32x = 93,146,906,971.54
  5. Step 5: Solve for x
    x = 93,146,906,971.54/341,207.32
  6. Step 6: Final answer
    x = 272,992.11

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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.