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Finding the Fourth Proportional to 308,829.27, 463,145.49 and 98,418

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Solution

The fourth proportional to 308,829.27, 463,145.49 and 98,418 is: 147,595.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,829.27 : 463,145.49 = 98,418 : x
  2. Step 2: Convert to fraction form
    308,829.27/463,145.49 = 98,418/x
  3. Step 3: Cross multiply
    308,829.27x = 463,145.49 × 98,418
  4. Step 4: Simplify right side
    308,829.27x = 45,581,852,834.82
  5. Step 5: Solve for x
    x = 45,581,852,834.82/308,829.27
  6. Step 6: Final answer
    x = 147,595.64

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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.