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Finding the Fourth Proportional to 500,751.64, 750,669.18 and 216,263.80

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Solution

The fourth proportional to 500,751.64, 750,669.18 and 216,263.80 is: 324,197.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,751.64 : 750,669.18 = 216,263.80 : x
  2. Step 2: Convert to fraction form
    500,751.64/750,669.18 = 216,263.80/x
  3. Step 3: Cross multiply
    500,751.64x = 750,669.18 × 216,263.80
  4. Step 4: Simplify right side
    500,751.64x = 162,342,569,409.68
  5. Step 5: Solve for x
    x = 162,342,569,409.68/500,751.64
  6. Step 6: Final answer
    x = 324,197.78

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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.