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Finding the Fourth Proportional to 430,438.97, 645,907.95 and 217,223.55

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Solution

The fourth proportional to 430,438.97, 645,907.95 and 217,223.55 is: 325,961.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,438.97 : 645,907.95 = 217,223.55 : x
  2. Step 2: Convert to fraction form
    430,438.97/645,907.95 = 217,223.55/x
  3. Step 3: Cross multiply
    430,438.97x = 645,907.95 × 217,223.55
  4. Step 4: Simplify right side
    430,438.97x = 140,306,417,872.22
  5. Step 5: Solve for x
    x = 140,306,417,872.22/430,438.97
  6. Step 6: Final answer
    x = 325,961.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.