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Finding the Fourth Proportional to 522,808.48, 783,790.32 and 202,795.12

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Solution

The fourth proportional to 522,808.48, 783,790.32 and 202,795.12 is: 304,028.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,808.48 : 783,790.32 = 202,795.12 : x
  2. Step 2: Convert to fraction form
    522,808.48/783,790.32 = 202,795.12/x
  3. Step 3: Cross multiply
    522,808.48x = 783,790.32 × 202,795.12
  4. Step 4: Simplify right side
    522,808.48x = 158,948,851,999.24
  5. Step 5: Solve for x
    x = 158,948,851,999.24/522,808.48
  6. Step 6: Final answer
    x = 304,028.83

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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.