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Finding the Fourth Proportional to 306,408.13, 459,686.02 and 96,046.07

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Solution

The fourth proportional to 306,408.13, 459,686.02 and 96,046.07 is: 144,092.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,408.13 : 459,686.02 = 96,046.07 : x
  2. Step 2: Convert to fraction form
    306,408.13/459,686.02 = 96,046.07/x
  3. Step 3: Cross multiply
    306,408.13x = 459,686.02 × 96,046.07
  4. Step 4: Simplify right side
    306,408.13x = 44,151,035,654.94
  5. Step 5: Solve for x
    x = 44,151,035,654.94/306,408.13
  6. Step 6: Final answer
    x = 144,092.25

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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.