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Finding the Fourth Proportional to 601,737.96, 830,404.90 and 329,800

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Solution

The fourth proportional to 601,737.96, 830,404.90 and 329,800 is: 455,127.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,737.96 : 830,404.90 = 329,800 : x
  2. Step 2: Convert to fraction form
    601,737.96/830,404.90 = 329,800/x
  3. Step 3: Cross multiply
    601,737.96x = 830,404.90 × 329,800
  4. Step 4: Simplify right side
    601,737.96x = 273,867,536,020
  5. Step 5: Solve for x
    x = 273,867,536,020/601,737.96
  6. Step 6: Final answer
    x = 455,127.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.