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Finding the Fourth Proportional to 334,223.64, 501,466.74 and 147,103.96

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Solution

The fourth proportional to 334,223.64, 501,466.74 and 147,103.96 is: 220,713.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,223.64 : 501,466.74 = 147,103.96 : x
  2. Step 2: Convert to fraction form
    334,223.64/501,466.74 = 147,103.96/x
  3. Step 3: Cross multiply
    334,223.64x = 501,466.74 × 147,103.96
  4. Step 4: Simplify right side
    334,223.64x = 73,767,743,262.29
  5. Step 5: Solve for x
    x = 73,767,743,262.29/334,223.64
  6. Step 6: Final answer
    x = 220,713.72

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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.