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Finding the Fourth Proportional to 721,287.54, 1,082,029.74 and 300,465

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Solution

The fourth proportional to 721,287.54, 1,082,029.74 and 300,465 is: 450,738.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,287.54 : 1,082,029.74 = 300,465 : x
  2. Step 2: Convert to fraction form
    721,287.54/1,082,029.74 = 300,465/x
  3. Step 3: Cross multiply
    721,287.54x = 1,082,029.74 × 300,465
  4. Step 4: Simplify right side
    721,287.54x = 325,112,065,829.10
  5. Step 5: Solve for x
    x = 325,112,065,829.10/721,287.54
  6. Step 6: Final answer
    x = 450,738.50

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Why These Related Problems?

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