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Finding the Fourth Proportional to 601,774.62, 902,660.34 and 152,494.20

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Solution

The fourth proportional to 601,774.62, 902,660.34 and 152,494.20 is: 228,740.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,774.62 : 902,660.34 = 152,494.20 : x
  2. Step 2: Convert to fraction form
    601,774.62/902,660.34 = 152,494.20/x
  3. Step 3: Cross multiply
    601,774.62x = 902,660.34 × 152,494.20
  4. Step 4: Simplify right side
    601,774.62x = 137,650,466,420.03
  5. Step 5: Solve for x
    x = 137,650,466,420.03/601,774.62
  6. Step 6: Final answer
    x = 228,740.90

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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.