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Finding the Fourth Proportional to 562,113.63, 775,791.90 and 317,148.66

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Solution

The fourth proportional to 562,113.63, 775,791.90 and 317,148.66 is: 437,707.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,113.63 : 775,791.90 = 317,148.66 : x
  2. Step 2: Convert to fraction form
    562,113.63/775,791.90 = 317,148.66/x
  3. Step 3: Cross multiply
    562,113.63x = 775,791.90 × 317,148.66
  4. Step 4: Simplify right side
    562,113.63x = 246,041,361,523.85
  5. Step 5: Solve for x
    x = 246,041,361,523.85/562,113.63
  6. Step 6: Final answer
    x = 437,707.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.