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Finding the Fourth Proportional to 517,417.77, 776,220.67 and 213,812.66

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Solution

The fourth proportional to 517,417.77, 776,220.67 and 213,812.66 is: 320,757.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,417.77 : 776,220.67 = 213,812.66 : x
  2. Step 2: Convert to fraction form
    517,417.77/776,220.67 = 213,812.66/x
  3. Step 3: Cross multiply
    517,417.77x = 776,220.67 × 213,812.66
  4. Step 4: Simplify right side
    517,417.77x = 165,965,808,407.50
  5. Step 5: Solve for x
    x = 165,965,808,407.50/517,417.77
  6. Step 6: Final answer
    x = 320,757.84

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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.