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Finding the Fourth Proportional to 471,355.02, 650,356.50 and 277,770.64

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Solution

The fourth proportional to 471,355.02, 650,356.50 and 277,770.64 is: 383,256.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,355.02 : 650,356.50 = 277,770.64 : x
  2. Step 2: Convert to fraction form
    471,355.02/650,356.50 = 277,770.64/x
  3. Step 3: Cross multiply
    471,355.02x = 650,356.50 × 277,770.64
  4. Step 4: Simplify right side
    471,355.02x = 180,649,941,233.16
  5. Step 5: Solve for x
    x = 180,649,941,233.16/471,355.02
  6. Step 6: Final answer
    x = 383,256.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.