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Finding the Fourth Proportional to 310,145.76, 465,213.24 and 169,827.84

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Solution

The fourth proportional to 310,145.76, 465,213.24 and 169,827.84 is: 254,738.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,145.76 : 465,213.24 = 169,827.84 : x
  2. Step 2: Convert to fraction form
    310,145.76/465,213.24 = 169,827.84/x
  3. Step 3: Cross multiply
    310,145.76x = 465,213.24 × 169,827.84
  4. Step 4: Simplify right side
    310,145.76x = 79,006,159,688.60
  5. Step 5: Solve for x
    x = 79,006,159,688.60/310,145.76
  6. Step 6: Final answer
    x = 254,738.80

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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.