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Finding the Fourth Proportional to 417,902.40, 627,263.20 and 207,777.60

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Solution

The fourth proportional to 417,902.40, 627,263.20 and 207,777.60 is: 311,870.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,902.40 : 627,263.20 = 207,777.60 : x
  2. Step 2: Convert to fraction form
    417,902.40/627,263.20 = 207,777.60/x
  3. Step 3: Cross multiply
    417,902.40x = 627,263.20 × 207,777.60
  4. Step 4: Simplify right side
    417,902.40x = 130,331,242,264.32
  5. Step 5: Solve for x
    x = 130,331,242,264.32/417,902.40
  6. Step 6: Final answer
    x = 311,870.05

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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.