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Finding the Fourth Proportional to 565,907.70, 781,063.57 and 324,352.16

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Solution

The fourth proportional to 565,907.70, 781,063.57 and 324,352.16 is: 447,669.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,907.70 : 781,063.57 = 324,352.16 : x
  2. Step 2: Convert to fraction form
    565,907.70/781,063.57 = 324,352.16/x
  3. Step 3: Cross multiply
    565,907.70x = 781,063.57 × 324,352.16
  4. Step 4: Simplify right side
    565,907.70x = 253,339,656,026.81
  5. Step 5: Solve for x
    x = 253,339,656,026.81/565,907.70
  6. Step 6: Final answer
    x = 447,669.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.