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Finding the Fourth Proportional to 306,411.17, 459,616.89 and 96,065.51

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Solution

The fourth proportional to 306,411.17, 459,616.89 and 96,065.51 is: 144,098.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,411.17 : 459,616.89 = 96,065.51 : x
  2. Step 2: Convert to fraction form
    306,411.17/459,616.89 = 96,065.51/x
  3. Step 3: Cross multiply
    306,411.17x = 459,616.89 × 96,065.51
  4. Step 4: Simplify right side
    306,411.17x = 44,153,330,942.46
  5. Step 5: Solve for x
    x = 44,153,330,942.46/306,411.17
  6. Step 6: Final answer
    x = 144,098.31

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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.