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Finding the Fourth Proportional to 402,186.40, 602,761.20 and 244,247.20

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Solution

The fourth proportional to 402,186.40, 602,761.20 and 244,247.20 is: 366,055.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,186.40 : 602,761.20 = 244,247.20 : x
  2. Step 2: Convert to fraction form
    402,186.40/602,761.20 = 244,247.20/x
  3. Step 3: Cross multiply
    402,186.40x = 602,761.20 × 244,247.20
  4. Step 4: Simplify right side
    402,186.40x = 147,222,735,368.64
  5. Step 5: Solve for x
    x = 147,222,735,368.64/402,186.40
  6. Step 6: Final answer
    x = 366,055.98

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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.