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Finding the Fourth Proportional to 682,366, 1,024,435.94 and 524,705.16

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Solution

The fourth proportional to 682,366, 1,024,435.94 and 524,705.16 is: 787,739.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,366 : 1,024,435.94 = 524,705.16 : x
  2. Step 2: Convert to fraction form
    682,366/1,024,435.94 = 524,705.16/x
  3. Step 3: Cross multiply
    682,366x = 1,024,435.94 × 524,705.16
  4. Step 4: Simplify right side
    682,366x = 537,526,823,807.45
  5. Step 5: Solve for x
    x = 537,526,823,807.45/682,366
  6. Step 6: Final answer
    x = 787,739.75

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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.