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Finding the Fourth Proportional to 522,098.87, 783,148.98 and 143,022.97

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Solution

The fourth proportional to 522,098.87, 783,148.98 and 143,022.97 is: 214,534.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,098.87 : 783,148.98 = 143,022.97 : x
  2. Step 2: Convert to fraction form
    522,098.87/783,148.98 = 143,022.97/x
  3. Step 3: Cross multiply
    522,098.87x = 783,148.98 × 143,022.97
  4. Step 4: Simplify right side
    522,098.87x = 112,008,289,779.88
  5. Step 5: Solve for x
    x = 112,008,289,779.88/522,098.87
  6. Step 6: Final answer
    x = 214,534.64

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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.