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Finding the Fourth Proportional to 516,564.74, 774,903.62 and 175,254.61

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Solution

The fourth proportional to 516,564.74, 774,903.62 and 175,254.61 is: 262,901.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,564.74 : 774,903.62 = 175,254.61 : x
  2. Step 2: Convert to fraction form
    516,564.74/774,903.62 = 175,254.61/x
  3. Step 3: Cross multiply
    516,564.74x = 774,903.62 × 175,254.61
  4. Step 4: Simplify right side
    516,564.74x = 135,805,431,710.69
  5. Step 5: Solve for x
    x = 135,805,431,710.69/516,564.74
  6. Step 6: Final answer
    x = 262,901.09

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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.