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Finding the Fourth Proportional to 306,530.96, 459,795.92 and 96,185.28

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Solution

The fourth proportional to 306,530.96, 459,795.92 and 96,185.28 is: 144,277.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,530.96 : 459,795.92 = 96,185.28 : x
  2. Step 2: Convert to fraction form
    306,530.96/459,795.92 = 96,185.28/x
  3. Step 3: Cross multiply
    306,530.96x = 459,795.92 × 96,185.28
  4. Step 4: Simplify right side
    306,530.96x = 44,225,599,308.06
  5. Step 5: Solve for x
    x = 44,225,599,308.06/306,530.96
  6. Step 6: Final answer
    x = 144,277.76

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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.