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Finding the Fourth Proportional to 353,215.60, 529,823.40 and 314,724.40

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Solution

The fourth proportional to 353,215.60, 529,823.40 and 314,724.40 is: 472,086.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,215.60 : 529,823.40 = 314,724.40 : x
  2. Step 2: Convert to fraction form
    353,215.60/529,823.40 = 314,724.40/x
  3. Step 3: Cross multiply
    353,215.60x = 529,823.40 × 314,724.40
  4. Step 4: Simplify right side
    353,215.60x = 166,748,351,670.96
  5. Step 5: Solve for x
    x = 166,748,351,670.96/353,215.60
  6. Step 6: Final answer
    x = 472,086.60

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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.