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Finding the Fourth Proportional to 522,754.90, 783,095.55 and 311,766.10

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Solution

The fourth proportional to 522,754.90, 783,095.55 and 311,766.10 is: 467,030.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,754.90 : 783,095.55 = 311,766.10 : x
  2. Step 2: Convert to fraction form
    522,754.90/783,095.55 = 311,766.10/x
  3. Step 3: Cross multiply
    522,754.90x = 783,095.55 × 311,766.10
  4. Step 4: Simplify right side
    522,754.90x = 244,142,645,550.86
  5. Step 5: Solve for x
    x = 244,142,645,550.86/522,754.90
  6. Step 6: Final answer
    x = 467,030.81

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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.