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Finding the Fourth Proportional to 796,270, 1,098,852.60 and 438,574

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Solution

The fourth proportional to 796,270, 1,098,852.60 and 438,574 is: 605,232.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,270 : 1,098,852.60 = 438,574 : x
  2. Step 2: Convert to fraction form
    796,270/1,098,852.60 = 438,574/x
  3. Step 3: Cross multiply
    796,270x = 1,098,852.60 × 438,574
  4. Step 4: Simplify right side
    796,270x = 481,928,180,192.40
  5. Step 5: Solve for x
    x = 481,928,180,192.40/796,270
  6. Step 6: Final answer
    x = 605,232.12

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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.