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Finding the Fourth Proportional to 411,364.93, 617,124.54 and 186,741.07

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Solution

The fourth proportional to 411,364.93, 617,124.54 and 186,741.07 is: 280,146.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,364.93 : 617,124.54 = 186,741.07 : x
  2. Step 2: Convert to fraction form
    411,364.93/617,124.54 = 186,741.07/x
  3. Step 3: Cross multiply
    411,364.93x = 617,124.54 × 186,741.07
  4. Step 4: Simplify right side
    411,364.93x = 115,242,496,922.86
  5. Step 5: Solve for x
    x = 115,242,496,922.86/411,364.93
  6. Step 6: Final answer
    x = 280,146.63

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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.