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Finding the Fourth Proportional to 306,412.42, 459,618.77 and 96,066.76

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Solution

The fourth proportional to 306,412.42, 459,618.77 and 96,066.76 is: 144,100.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,412.42 : 459,618.77 = 96,066.76 : x
  2. Step 2: Convert to fraction form
    306,412.42/459,618.77 = 96,066.76/x
  3. Step 3: Cross multiply
    306,412.42x = 459,618.77 × 96,066.76
  4. Step 4: Simplify right side
    306,412.42x = 44,154,086,069.09
  5. Step 5: Solve for x
    x = 44,154,086,069.09/306,412.42
  6. Step 6: Final answer
    x = 144,100.18

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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.