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Finding the Fourth Proportional to 402,002.74, 602,220.12 and 223,973.62

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Solution

The fourth proportional to 402,002.74, 602,220.12 and 223,973.62 is: 335,523.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,002.74 : 602,220.12 = 223,973.62 : x
  2. Step 2: Convert to fraction form
    402,002.74/602,220.12 = 223,973.62/x
  3. Step 3: Cross multiply
    402,002.74x = 602,220.12 × 223,973.62
  4. Step 4: Simplify right side
    402,002.74x = 134,881,420,313.23
  5. Step 5: Solve for x
    x = 134,881,420,313.23/402,002.74
  6. Step 6: Final answer
    x = 335,523.63

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