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Finding the Fourth Proportional to 504,461.60, 756,735.81 and 144,633.86

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Solution

The fourth proportional to 504,461.60, 756,735.81 and 144,633.86 is: 216,963.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,461.60 : 756,735.81 = 144,633.86 : x
  2. Step 2: Convert to fraction form
    504,461.60/756,735.81 = 144,633.86/x
  3. Step 3: Cross multiply
    504,461.60x = 756,735.81 × 144,633.86
  4. Step 4: Simplify right side
    504,461.60x = 109,449,621,200.53
  5. Step 5: Solve for x
    x = 109,449,621,200.53/504,461.60
  6. Step 6: Final answer
    x = 216,963.24

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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.