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Finding the Fourth Proportional to 400,770.50, 601,195.22 and 116,463.53

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Solution

The fourth proportional to 400,770.50, 601,195.22 and 116,463.53 is: 174,706.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,770.50 : 601,195.22 = 116,463.53 : x
  2. Step 2: Convert to fraction form
    400,770.50/601,195.22 = 116,463.53/x
  3. Step 3: Cross multiply
    400,770.50x = 601,195.22 × 116,463.53
  4. Step 4: Simplify right side
    400,770.50x = 70,017,319,334.47
  5. Step 5: Solve for x
    x = 70,017,319,334.47/400,770.50
  6. Step 6: Final answer
    x = 174,706.77

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1.5x scale

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.