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Finding the Fourth Proportional to 334,454.68, 501,758.63 and 144,946.86

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Solution

The fourth proportional to 334,454.68, 501,758.63 and 144,946.86 is: 217,453.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,454.68 : 501,758.63 = 144,946.86 : x
  2. Step 2: Convert to fraction form
    334,454.68/501,758.63 = 144,946.86/x
  3. Step 3: Cross multiply
    334,454.68x = 501,758.63 × 144,946.86
  4. Step 4: Simplify right side
    334,454.68x = 72,728,337,896.40
  5. Step 5: Solve for x
    x = 72,728,337,896.40/334,454.68
  6. Step 6: Final answer
    x = 217,453.49

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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.