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Finding the Fourth Proportional to 601,466.45, 902,282.59 and 202,138.17

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Solution

The fourth proportional to 601,466.45, 902,282.59 and 202,138.17 is: 303,235.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,466.45 : 902,282.59 = 202,138.17 : x
  2. Step 2: Convert to fraction form
    601,466.45/902,282.59 = 202,138.17/x
  3. Step 3: Cross multiply
    601,466.45x = 902,282.59 × 202,138.17
  4. Step 4: Simplify right side
    601,466.45x = 182,385,748,434.57
  5. Step 5: Solve for x
    x = 182,385,748,434.57/601,466.45
  6. Step 6: Final answer
    x = 303,235.12

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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.