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Finding the Fourth Proportional to 407,911.93, 562,737.35 and 271,813.10

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Solution

The fourth proportional to 407,911.93, 562,737.35 and 271,813.10 is: 374,981.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,911.93 : 562,737.35 = 271,813.10 : x
  2. Step 2: Convert to fraction form
    407,911.93/562,737.35 = 271,813.10/x
  3. Step 3: Cross multiply
    407,911.93x = 562,737.35 × 271,813.10
  4. Step 4: Simplify right side
    407,911.93x = 152,959,379,416.53
  5. Step 5: Solve for x
    x = 152,959,379,416.53/407,911.93
  6. Step 6: Final answer
    x = 374,981.38

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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.