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Finding the Fourth Proportional to 471,433.19, 650,464.43 and 277,848.59

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Solution

The fourth proportional to 471,433.19, 650,464.43 and 277,848.59 is: 383,364.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,433.19 : 650,464.43 = 277,848.59 : x
  2. Step 2: Convert to fraction form
    471,433.19/650,464.43 = 277,848.59/x
  3. Step 3: Cross multiply
    471,433.19x = 650,464.43 × 277,848.59
  4. Step 4: Simplify right side
    471,433.19x = 180,730,620,079.09
  5. Step 5: Solve for x
    x = 180,730,620,079.09/471,433.19
  6. Step 6: Final answer
    x = 383,364.23

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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.