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Finding the Fourth Proportional to 309,240.60, 463,927.02 and 96,003.84

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Solution

The fourth proportional to 309,240.60, 463,927.02 and 96,003.84 is: 144,026.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,240.60 : 463,927.02 = 96,003.84 : x
  2. Step 2: Convert to fraction form
    309,240.60/463,927.02 = 96,003.84/x
  3. Step 3: Cross multiply
    309,240.60x = 463,927.02 × 96,003.84
  4. Step 4: Simplify right side
    309,240.60x = 44,538,775,399.76
  5. Step 5: Solve for x
    x = 44,538,775,399.76/309,240.60
  6. Step 6: Final answer
    x = 144,026.29

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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.