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Finding the Fourth Proportional to 410,155.64, 565,930.28 and 235,692.14

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Solution

The fourth proportional to 410,155.64, 565,930.28 and 235,692.14 is: 325,206.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,155.64 : 565,930.28 = 235,692.14 : x
  2. Step 2: Convert to fraction form
    410,155.64/565,930.28 = 235,692.14/x
  3. Step 3: Cross multiply
    410,155.64x = 565,930.28 × 235,692.14
  4. Step 4: Simplify right side
    410,155.64x = 133,385,318,784.00
  5. Step 5: Solve for x
    x = 133,385,318,784.00/410,155.64
  6. Step 6: Final answer
    x = 325,206.59

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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.