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Finding the Fourth Proportional to 649,308.17, 896,028.08 and 362,830.61

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Solution

The fourth proportional to 649,308.17, 896,028.08 and 362,830.61 is: 500,696.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,308.17 : 896,028.08 = 362,830.61 : x
  2. Step 2: Convert to fraction form
    649,308.17/896,028.08 = 362,830.61/x
  3. Step 3: Cross multiply
    649,308.17x = 896,028.08 × 362,830.61
  4. Step 4: Simplify right side
    649,308.17x = 325,106,414,843.53
  5. Step 5: Solve for x
    x = 325,106,414,843.53/649,308.17
  6. Step 6: Final answer
    x = 500,696.63

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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.