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Finding the Fourth Proportional to 601,452.95, 902,262.34 and 202,124.67

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Solution

The fourth proportional to 601,452.95, 902,262.34 and 202,124.67 is: 303,214.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,452.95 : 902,262.34 = 202,124.67 : x
  2. Step 2: Convert to fraction form
    601,452.95/902,262.34 = 202,124.67/x
  3. Step 3: Cross multiply
    601,452.95x = 902,262.34 × 202,124.67
  4. Step 4: Simplify right side
    601,452.95x = 182,369,474,595.10
  5. Step 5: Solve for x
    x = 182,369,474,595.10/601,452.95
  6. Step 6: Final answer
    x = 303,214.87

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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.