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Finding the Fourth Proportional to 353,456.80, 530,185.20 and 314,749.60

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Solution

The fourth proportional to 353,456.80, 530,185.20 and 314,749.60 is: 472,124.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,456.80 : 530,185.20 = 314,749.60 : x
  2. Step 2: Convert to fraction form
    353,456.80/530,185.20 = 314,749.60/x
  3. Step 3: Cross multiply
    353,456.80x = 530,185.20 × 314,749.60
  4. Step 4: Simplify right side
    353,456.80x = 166,875,579,625.92
  5. Step 5: Solve for x
    x = 166,875,579,625.92/353,456.80
  6. Step 6: Final answer
    x = 472,124.40

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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.