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Finding the Fourth Proportional to 567,351.80, 851,027.70 and 315,409.40

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Solution

The fourth proportional to 567,351.80, 851,027.70 and 315,409.40 is: 473,114.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,351.80 : 851,027.70 = 315,409.40 : x
  2. Step 2: Convert to fraction form
    567,351.80/851,027.70 = 315,409.40/x
  3. Step 3: Cross multiply
    567,351.80x = 851,027.70 × 315,409.40
  4. Step 4: Simplify right side
    567,351.80x = 268,422,136,240.38
  5. Step 5: Solve for x
    x = 268,422,136,240.38/567,351.80
  6. Step 6: Final answer
    x = 473,114.10

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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.