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Finding the Fourth Proportional to 310,617.60, 465,523.20 and 144,051.20

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Solution

The fourth proportional to 310,617.60, 465,523.20 and 144,051.20 is: 215,889.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,617.60 : 465,523.20 = 144,051.20 : x
  2. Step 2: Convert to fraction form
    310,617.60/465,523.20 = 144,051.20/x
  3. Step 3: Cross multiply
    310,617.60x = 465,523.20 × 144,051.20
  4. Step 4: Simplify right side
    310,617.60x = 67,059,175,587.84
  5. Step 5: Solve for x
    x = 67,059,175,587.84/310,617.60
  6. Step 6: Final answer
    x = 215,889.81

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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.