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Finding the Fourth Proportional to 353,502.80, 529,476.60 and 314,104.40

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Solution

The fourth proportional to 353,502.80, 529,476.60 and 314,104.40 is: 470,465.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,502.80 : 529,476.60 = 314,104.40 : x
  2. Step 2: Convert to fraction form
    353,502.80/529,476.60 = 314,104.40/x
  3. Step 3: Cross multiply
    353,502.80x = 529,476.60 × 314,104.40
  4. Step 4: Simplify right side
    353,502.80x = 166,310,929,757.04
  5. Step 5: Solve for x
    x = 166,310,929,757.04/353,502.80
  6. Step 6: Final answer
    x = 470,465.66

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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.