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Finding the Fourth Proportional to 613,427.10, 920,140.65 and 192,702.30

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Solution

The fourth proportional to 613,427.10, 920,140.65 and 192,702.30 is: 289,053.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,427.10 : 920,140.65 = 192,702.30 : x
  2. Step 2: Convert to fraction form
    613,427.10/920,140.65 = 192,702.30/x
  3. Step 3: Cross multiply
    613,427.10x = 920,140.65 × 192,702.30
  4. Step 4: Simplify right side
    613,427.10x = 177,313,219,578.50
  5. Step 5: Solve for x
    x = 177,313,219,578.50/613,427.10
  6. Step 6: Final answer
    x = 289,053.45

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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.