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Finding the Fourth Proportional to 1,299,945.33, 1,949,520.69 and 458,300.25

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Solution

The fourth proportional to 1,299,945.33, 1,949,520.69 and 458,300.25 is: 687,310.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299,945.33 : 1,949,520.69 = 458,300.25 : x
  2. Step 2: Convert to fraction form
    1,299,945.33/1,949,520.69 = 458,300.25/x
  3. Step 3: Cross multiply
    1,299,945.33x = 1,949,520.69 × 458,300.25
  4. Step 4: Simplify right side
    1,299,945.33x = 893,465,819,607.17
  5. Step 5: Solve for x
    x = 893,465,819,607.17/1,299,945.33
  6. Step 6: Final answer
    x = 687,310.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.