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Finding the Fourth Proportional to 308,984.68, 463,527.24 and 95,702.77

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Solution

The fourth proportional to 308,984.68, 463,527.24 and 95,702.77 is: 143,569.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,984.68 : 463,527.24 = 95,702.77 : x
  2. Step 2: Convert to fraction form
    308,984.68/463,527.24 = 95,702.77/x
  3. Step 3: Cross multiply
    308,984.68x = 463,527.24 × 95,702.77
  4. Step 4: Simplify right side
    308,984.68x = 44,360,840,838.45
  5. Step 5: Solve for x
    x = 44,360,840,838.45/308,984.68
  6. Step 6: Final answer
    x = 143,569.71

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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.