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Finding the Fourth Proportional to 353,147.60, 529,721.40 and 314,440.40

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Solution

The fourth proportional to 353,147.60, 529,721.40 and 314,440.40 is: 471,660.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,147.60 : 529,721.40 = 314,440.40 : x
  2. Step 2: Convert to fraction form
    353,147.60/529,721.40 = 314,440.40/x
  3. Step 3: Cross multiply
    353,147.60x = 529,721.40 × 314,440.40
  4. Step 4: Simplify right side
    353,147.60x = 166,565,808,904.56
  5. Step 5: Solve for x
    x = 166,565,808,904.56/353,147.60
  6. Step 6: Final answer
    x = 471,660.60

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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.