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Finding the Fourth Proportional to 678,458.60, 1,017,687.90 and 205,094.60

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Solution

The fourth proportional to 678,458.60, 1,017,687.90 and 205,094.60 is: 307,641.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,458.60 : 1,017,687.90 = 205,094.60 : x
  2. Step 2: Convert to fraction form
    678,458.60/1,017,687.90 = 205,094.60/x
  3. Step 3: Cross multiply
    678,458.60x = 1,017,687.90 × 205,094.60
  4. Step 4: Simplify right side
    678,458.60x = 208,722,292,775.34
  5. Step 5: Solve for x
    x = 208,722,292,775.34/678,458.60
  6. Step 6: Final answer
    x = 307,641.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.