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Finding the Fourth Proportional to 421,064.76, 631,571.22 and 140,558.52

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Solution

The fourth proportional to 421,064.76, 631,571.22 and 140,558.52 is: 210,829.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,064.76 : 631,571.22 = 140,558.52 : x
  2. Step 2: Convert to fraction form
    421,064.76/631,571.22 = 140,558.52/x
  3. Step 3: Cross multiply
    421,064.76x = 631,571.22 × 140,558.52
  4. Step 4: Simplify right side
    421,064.76x = 88,772,715,957.79
  5. Step 5: Solve for x
    x = 88,772,715,957.79/421,064.76
  6. Step 6: Final answer
    x = 210,829.13

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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.