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Finding the Fourth Proportional to 306,411.67, 459,617.64 and 96,066.01

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Solution

The fourth proportional to 306,411.67, 459,617.64 and 96,066.01 is: 144,099.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,411.67 : 459,617.64 = 96,066.01 : x
  2. Step 2: Convert to fraction form
    306,411.67/459,617.64 = 96,066.01/x
  3. Step 3: Cross multiply
    306,411.67x = 459,617.64 × 96,066.01
  4. Step 4: Simplify right side
    306,411.67x = 44,153,632,800.42
  5. Step 5: Solve for x
    x = 44,153,632,800.42/306,411.67
  6. Step 6: Final answer
    x = 144,099.06

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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.