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Finding the Fourth Proportional to 698,886.12, 1,048,323.42 and 200,250.60

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Solution

The fourth proportional to 698,886.12, 1,048,323.42 and 200,250.60 is: 300,374.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,886.12 : 1,048,323.42 = 200,250.60 : x
  2. Step 2: Convert to fraction form
    698,886.12/1,048,323.42 = 200,250.60/x
  3. Step 3: Cross multiply
    698,886.12x = 1,048,323.42 × 200,250.60
  4. Step 4: Simplify right side
    698,886.12x = 209,927,393,849.05
  5. Step 5: Solve for x
    x = 209,927,393,849.05/698,886.12
  6. Step 6: Final answer
    x = 300,374.25

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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.