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Finding the Fourth Proportional to 796,320, 1,098,921.60 and 438,624

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Solution

The fourth proportional to 796,320, 1,098,921.60 and 438,624 is: 605,301.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,320 : 1,098,921.60 = 438,624 : x
  2. Step 2: Convert to fraction form
    796,320/1,098,921.60 = 438,624/x
  3. Step 3: Cross multiply
    796,320x = 1,098,921.60 × 438,624
  4. Step 4: Simplify right side
    796,320x = 482,013,387,878.40
  5. Step 5: Solve for x
    x = 482,013,387,878.40/796,320
  6. Step 6: Final answer
    x = 605,301.12

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