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Finding the Fourth Proportional to 353,221.60, 529,832.40 and 314,514.40

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Solution

The fourth proportional to 353,221.60, 529,832.40 and 314,514.40 is: 471,771.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,221.60 : 529,832.40 = 314,514.40 : x
  2. Step 2: Convert to fraction form
    353,221.60/529,832.40 = 314,514.40/x
  3. Step 3: Cross multiply
    353,221.60x = 529,832.40 × 314,514.40
  4. Step 4: Simplify right side
    353,221.60x = 166,639,919,386.56
  5. Step 5: Solve for x
    x = 166,639,919,386.56/353,221.60
  6. Step 6: Final answer
    x = 471,771.60

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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.