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Finding the Fourth Proportional to 648,077.40, 972,116.10 and 412,464.60

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Solution

The fourth proportional to 648,077.40, 972,116.10 and 412,464.60 is: 618,696.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,077.40 : 972,116.10 = 412,464.60 : x
  2. Step 2: Convert to fraction form
    648,077.40/972,116.10 = 412,464.60/x
  3. Step 3: Cross multiply
    648,077.40x = 972,116.10 × 412,464.60
  4. Step 4: Simplify right side
    648,077.40x = 400,963,478,340.06
  5. Step 5: Solve for x
    x = 400,963,478,340.06/648,077.40
  6. Step 6: Final answer
    x = 618,696.90

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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.