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Finding the Fourth Proportional to 274,445.08, 411,610.02 and 77,407

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Solution

The fourth proportional to 274,445.08, 411,610.02 and 77,407 is: 116,094.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,445.08 : 411,610.02 = 77,407 : x
  2. Step 2: Convert to fraction form
    274,445.08/411,610.02 = 77,407/x
  3. Step 3: Cross multiply
    274,445.08x = 411,610.02 × 77,407
  4. Step 4: Simplify right side
    274,445.08x = 31,861,496,818.14
  5. Step 5: Solve for x
    x = 31,861,496,818.14/274,445.08
  6. Step 6: Final answer
    x = 116,094.25

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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.