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Finding the Fourth Proportional to 569,161.10, 785,453.60 and 311,054.04

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Solution

The fourth proportional to 569,161.10, 785,453.60 and 311,054.04 is: 429,260.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,161.10 : 785,453.60 = 311,054.04 : x
  2. Step 2: Convert to fraction form
    569,161.10/785,453.60 = 311,054.04/x
  3. Step 3: Cross multiply
    569,161.10x = 785,453.60 × 311,054.04
  4. Step 4: Simplify right side
    569,161.10x = 244,318,516,290.18
  5. Step 5: Solve for x
    x = 244,318,516,290.18/569,161.10
  6. Step 6: Final answer
    x = 429,260.74

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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.