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Finding the Fourth Proportional to 309,510.96, 464,333.28 and 96,274.81

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Solution

The fourth proportional to 309,510.96, 464,333.28 and 96,274.81 is: 144,433.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,510.96 : 464,333.28 = 96,274.81 : x
  2. Step 2: Convert to fraction form
    309,510.96/464,333.28 = 96,274.81/x
  3. Step 3: Cross multiply
    309,510.96x = 464,333.28 × 96,274.81
  4. Step 4: Simplify right side
    309,510.96x = 44,703,598,528.06
  5. Step 5: Solve for x
    x = 44,703,598,528.06/309,510.96
  6. Step 6: Final answer
    x = 144,433.01

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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.