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Finding the Fourth Proportional to 682,370, 1,024,441.96 and 524,709.16

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Solution

The fourth proportional to 682,370, 1,024,441.96 and 524,709.16 is: 787,745.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,370 : 1,024,441.96 = 524,709.16 : x
  2. Step 2: Convert to fraction form
    682,370/1,024,441.96 = 524,709.16/x
  3. Step 3: Cross multiply
    682,370x = 1,024,441.96 × 524,709.16
  4. Step 4: Simplify right side
    682,370x = 537,534,080,300.35
  5. Step 5: Solve for x
    x = 537,534,080,300.35/682,370
  6. Step 6: Final answer
    x = 787,745.77

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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.