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Finding the Fourth Proportional to 516,568.96, 774,809.70 and 179,523.10

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Solution

The fourth proportional to 516,568.96, 774,809.70 and 179,523.10 is: 269,269.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,568.96 : 774,809.70 = 179,523.10 : x
  2. Step 2: Convert to fraction form
    516,568.96/774,809.70 = 179,523.10/x
  3. Step 3: Cross multiply
    516,568.96x = 774,809.70 × 179,523.10
  4. Step 4: Simplify right side
    516,568.96x = 139,096,239,254.07
  5. Step 5: Solve for x
    x = 139,096,239,254.07/516,568.96
  6. Step 6: Final answer
    x = 269,269.45

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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.