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Finding the Fourth Proportional to 454,098.84, 626,546.04 and 299,034.12

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Solution

The fourth proportional to 454,098.84, 626,546.04 and 299,034.12 is: 412,594.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,098.84 : 626,546.04 = 299,034.12 : x
  2. Step 2: Convert to fraction form
    454,098.84/626,546.04 = 299,034.12/x
  3. Step 3: Cross multiply
    454,098.84x = 626,546.04 × 299,034.12
  4. Step 4: Simplify right side
    454,098.84x = 187,358,643,710.89
  5. Step 5: Solve for x
    x = 187,358,643,710.89/454,098.84
  6. Step 6: Final answer
    x = 412,594.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.