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Finding the Fourth Proportional to 410,155.89, 565,930.61 and 235,692.36

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Solution

The fourth proportional to 410,155.89, 565,930.61 and 235,692.36 is: 325,206.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,155.89 : 565,930.61 = 235,692.36 : x
  2. Step 2: Convert to fraction form
    410,155.89/565,930.61 = 235,692.36/x
  3. Step 3: Cross multiply
    410,155.89x = 565,930.61 × 235,692.36
  4. Step 4: Simplify right side
    410,155.89x = 133,385,518,598.55
  5. Step 5: Solve for x
    x = 133,385,518,598.55/410,155.89
  6. Step 6: Final answer
    x = 325,206.89

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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.