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Finding the Fourth Proportional to 802,454, 1,107,386.52 and 444,758

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Solution

The fourth proportional to 802,454, 1,107,386.52 and 444,758 is: 613,766.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,454 : 1,107,386.52 = 444,758 : x
  2. Step 2: Convert to fraction form
    802,454/1,107,386.52 = 444,758/x
  3. Step 3: Cross multiply
    802,454x = 1,107,386.52 × 444,758
  4. Step 4: Simplify right side
    802,454x = 492,519,013,862.16
  5. Step 5: Solve for x
    x = 492,519,013,862.16/802,454
  6. Step 6: Final answer
    x = 613,766.04

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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.