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Finding the Fourth Proportional to 522,300.74, 783,563.90 and 162,464.74

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Solution

The fourth proportional to 522,300.74, 783,563.90 and 162,464.74 is: 243,732.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,300.74 : 783,563.90 = 162,464.74 : x
  2. Step 2: Convert to fraction form
    522,300.74/783,563.90 = 162,464.74/x
  3. Step 3: Cross multiply
    522,300.74x = 783,563.90 × 162,464.74
  4. Step 4: Simplify right side
    522,300.74x = 127,301,505,286.89
  5. Step 5: Solve for x
    x = 127,301,505,286.89/522,300.74
  6. Step 6: Final answer
    x = 243,732.19

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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.