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Finding the Fourth Proportional to 524,289.92, 782,878.77 and 416,463.53

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Solution

The fourth proportional to 524,289.92, 782,878.77 and 416,463.53 is: 621,870.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,289.92 : 782,878.77 = 416,463.53 : x
  2. Step 2: Convert to fraction form
    524,289.92/782,878.77 = 416,463.53/x
  3. Step 3: Cross multiply
    524,289.92x = 782,878.77 × 416,463.53
  4. Step 4: Simplify right side
    524,289.92x = 326,040,452,201.86
  5. Step 5: Solve for x
    x = 326,040,452,201.86/524,289.92
  6. Step 6: Final answer
    x = 621,870.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.