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Finding the Fourth Proportional to 475,232.80, 712,503.60 and 194,605.60

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Solution

The fourth proportional to 475,232.80, 712,503.60 and 194,605.60 is: 291,766.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,232.80 : 712,503.60 = 194,605.60 : x
  2. Step 2: Convert to fraction form
    475,232.80/712,503.60 = 194,605.60/x
  3. Step 3: Cross multiply
    475,232.80x = 712,503.60 × 194,605.60
  4. Step 4: Simplify right side
    475,232.80x = 138,657,190,580.16
  5. Step 5: Solve for x
    x = 138,657,190,580.16/475,232.80
  6. Step 6: Final answer
    x = 291,766.88

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Why These Related Problems?

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