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Finding the Fourth Proportional to 353,116.80, 529,675.20 and 314,409.60

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Solution

The fourth proportional to 353,116.80, 529,675.20 and 314,409.60 is: 471,614.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,116.80 : 529,675.20 = 314,409.60 : x
  2. Step 2: Convert to fraction form
    353,116.80/529,675.20 = 314,409.60/x
  3. Step 3: Cross multiply
    353,116.80x = 529,675.20 × 314,409.60
  4. Step 4: Simplify right side
    353,116.80x = 166,534,967,761.92
  5. Step 5: Solve for x
    x = 166,534,967,761.92/353,116.80
  6. Step 6: Final answer
    x = 471,614.40

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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.