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Finding the Fourth Proportional to 796,323, 1,098,925.80 and 438,627

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Solution

The fourth proportional to 796,323, 1,098,925.80 and 438,627 is: 605,305.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,323 : 1,098,925.80 = 438,627 : x
  2. Step 2: Convert to fraction form
    796,323/1,098,925.80 = 438,627/x
  3. Step 3: Cross multiply
    796,323x = 1,098,925.80 × 438,627
  4. Step 4: Simplify right side
    796,323x = 482,018,526,876.60
  5. Step 5: Solve for x
    x = 482,018,526,876.60/796,323
  6. Step 6: Final answer
    x = 605,305.29

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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.