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Finding the Fourth Proportional to 411,360.93, 617,118.55 and 186,737.06

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Solution

The fourth proportional to 411,360.93, 617,118.55 and 186,737.06 is: 280,140.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,360.93 : 617,118.55 = 186,737.06 : x
  2. Step 2: Convert to fraction form
    411,360.93/617,118.55 = 186,737.06/x
  3. Step 3: Cross multiply
    411,360.93x = 617,118.55 × 186,737.06
  4. Step 4: Simplify right side
    411,360.93x = 115,238,904,774.42
  5. Step 5: Solve for x
    x = 115,238,904,774.42/411,360.93
  6. Step 6: Final answer
    x = 280,140.62

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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.