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Finding the Fourth Proportional to 601,743.60, 902,396.70 and 202,397.40

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Solution

The fourth proportional to 601,743.60, 902,396.70 and 202,397.40 is: 303,522.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,743.60 : 902,396.70 = 202,397.40 : x
  2. Step 2: Convert to fraction form
    601,743.60/902,396.70 = 202,397.40/x
  3. Step 3: Cross multiply
    601,743.60x = 902,396.70 × 202,397.40
  4. Step 4: Simplify right side
    601,743.60x = 182,642,745,848.58
  5. Step 5: Solve for x
    x = 182,642,745,848.58/601,743.60
  6. Step 6: Final answer
    x = 303,522.54

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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.