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Finding the Fourth Proportional to 569,551.10, 785,996.26 and 314,911.40

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Solution

The fourth proportional to 569,551.10, 785,996.26 and 314,911.40 is: 434,586.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,551.10 : 785,996.26 = 314,911.40 : x
  2. Step 2: Convert to fraction form
    569,551.10/785,996.26 = 314,911.40/x
  3. Step 3: Cross multiply
    569,551.10x = 785,996.26 × 314,911.40
  4. Step 4: Simplify right side
    569,551.10x = 247,519,177,914.10
  5. Step 5: Solve for x
    x = 247,519,177,914.10/569,551.10
  6. Step 6: Final answer
    x = 434,586.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.