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Finding the Fourth Proportional to 417,830.40, 627,155.20 and 207,705.60

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Solution

The fourth proportional to 417,830.40, 627,155.20 and 207,705.60 is: 311,762.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,830.40 : 627,155.20 = 207,705.60 : x
  2. Step 2: Convert to fraction form
    417,830.40/627,155.20 = 207,705.60/x
  3. Step 3: Cross multiply
    417,830.40x = 627,155.20 × 207,705.60
  4. Step 4: Simplify right side
    417,830.40x = 130,263,647,109.12
  5. Step 5: Solve for x
    x = 130,263,647,109.12/417,830.40
  6. Step 6: Final answer
    x = 311,762.01

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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.