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Finding the Fourth Proportional to 291,880.23, 402,801.86 and 162,817.76

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Solution

The fourth proportional to 291,880.23, 402,801.86 and 162,817.76 is: 224,692.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,880.23 : 402,801.86 = 162,817.76 : x
  2. Step 2: Convert to fraction form
    291,880.23/402,801.86 = 162,817.76/x
  3. Step 3: Cross multiply
    291,880.23x = 402,801.86 × 162,817.76
  4. Step 4: Simplify right side
    291,880.23x = 65,583,293,740.94
  5. Step 5: Solve for x
    x = 65,583,293,740.94/291,880.23
  6. Step 6: Final answer
    x = 224,692.48

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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.