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Finding the Fourth Proportional to 682,371, 1,024,443.46 and 524,710.16

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Solution

The fourth proportional to 682,371, 1,024,443.46 and 524,710.16 is: 787,747.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,371 : 1,024,443.46 = 524,710.16 : x
  2. Step 2: Convert to fraction form
    682,371/1,024,443.46 = 524,710.16/x
  3. Step 3: Cross multiply
    682,371x = 1,024,443.46 × 524,710.16
  4. Step 4: Simplify right side
    682,371x = 537,535,891,807.55
  5. Step 5: Solve for x
    x = 537,535,891,807.55/682,371
  6. Step 6: Final answer
    x = 787,747.27

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1.5x scale

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.