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Finding the Fourth Proportional to 402,002.10, 602,436.23 and 222,168.50

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Solution

The fourth proportional to 402,002.10, 602,436.23 and 222,168.50 is: 332,939.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,002.10 : 602,436.23 = 222,168.50 : x
  2. Step 2: Convert to fraction form
    402,002.10/602,436.23 = 222,168.50/x
  3. Step 3: Cross multiply
    402,002.10x = 602,436.23 × 222,168.50
  4. Step 4: Simplify right side
    402,002.10x = 133,842,357,172.40
  5. Step 5: Solve for x
    x = 133,842,357,172.40/402,002.10
  6. Step 6: Final answer
    x = 332,939.45

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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.