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Finding the Fourth Proportional to 352,306.60, 528,071.10 and 194,648.20

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Solution

The fourth proportional to 352,306.60, 528,071.10 and 194,648.20 is: 291,757.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,306.60 : 528,071.10 = 194,648.20 : x
  2. Step 2: Convert to fraction form
    352,306.60/528,071.10 = 194,648.20/x
  3. Step 3: Cross multiply
    352,306.60x = 528,071.10 × 194,648.20
  4. Step 4: Simplify right side
    352,306.60x = 102,788,089,087.02
  5. Step 5: Solve for x
    x = 102,788,089,087.02/352,306.60
  6. Step 6: Final answer
    x = 291,757.49

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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.