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Finding the Fourth Proportional to 319,005.20, 478,392.60 and 161,181.20

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Solution

The fourth proportional to 319,005.20, 478,392.60 and 161,181.20 is: 241,713.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,005.20 : 478,392.60 = 161,181.20 : x
  2. Step 2: Convert to fraction form
    319,005.20/478,392.60 = 161,181.20/x
  3. Step 3: Cross multiply
    319,005.20x = 478,392.60 × 161,181.20
  4. Step 4: Simplify right side
    319,005.20x = 77,107,893,339.12
  5. Step 5: Solve for x
    x = 77,107,893,339.12/319,005.20
  6. Step 6: Final answer
    x = 241,713.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.