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Finding the Fourth Proportional to 601,803.82, 902,704.38 and 152,523.46

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Solution

The fourth proportional to 601,803.82, 902,704.38 and 152,523.46 is: 228,784.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,803.82 : 902,704.38 = 152,523.46 : x
  2. Step 2: Convert to fraction form
    601,803.82/902,704.38 = 152,523.46/x
  3. Step 3: Cross multiply
    601,803.82x = 902,704.38 × 152,523.46
  4. Step 4: Simplify right side
    601,803.82x = 137,683,595,394.76
  5. Step 5: Solve for x
    x = 137,683,595,394.76/601,803.82
  6. Step 6: Final answer
    x = 228,784.85

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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.