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Finding the Fourth Proportional to 516,567.96, 774,808.20 and 179,522.10

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Solution

The fourth proportional to 516,567.96, 774,808.20 and 179,522.10 is: 269,267.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,567.96 : 774,808.20 = 179,522.10 : x
  2. Step 2: Convert to fraction form
    516,567.96/774,808.20 = 179,522.10/x
  3. Step 3: Cross multiply
    516,567.96x = 774,808.20 × 179,522.10
  4. Step 4: Simplify right side
    516,567.96x = 139,095,195,161.22
  5. Step 5: Solve for x
    x = 139,095,195,161.22/516,567.96
  6. Step 6: Final answer
    x = 269,267.95

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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.