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Finding the Fourth Proportional to 319,209.60, 477,892.80 and 194,793.60

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Solution

The fourth proportional to 319,209.60, 477,892.80 and 194,793.60 is: 291,628.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,209.60 : 477,892.80 = 194,793.60 : x
  2. Step 2: Convert to fraction form
    319,209.60/477,892.80 = 194,793.60/x
  3. Step 3: Cross multiply
    319,209.60x = 477,892.80 × 194,793.60
  4. Step 4: Simplify right side
    319,209.60x = 93,090,458,926.08
  5. Step 5: Solve for x
    x = 93,090,458,926.08/319,209.60
  6. Step 6: Final answer
    x = 291,628.01

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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.