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Finding the Fourth Proportional to 561,510, 842,025.24 and 325,015.92

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Solution

The fourth proportional to 561,510, 842,025.24 and 325,015.92 is: 487,385.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,510 : 842,025.24 = 325,015.92 : x
  2. Step 2: Convert to fraction form
    561,510/842,025.24 = 325,015.92/x
  3. Step 3: Cross multiply
    561,510x = 842,025.24 × 325,015.92
  4. Step 4: Simplify right side
    561,510x = 273,671,608,041.82
  5. Step 5: Solve for x
    x = 273,671,608,041.82/561,510
  6. Step 6: Final answer
    x = 487,385.10

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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.