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Finding the Fourth Proportional to 274,442.58, 411,606.27 and 77,404.50

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Solution

The fourth proportional to 274,442.58, 411,606.27 and 77,404.50 is: 116,090.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,442.58 : 411,606.27 = 77,404.50 : x
  2. Step 2: Convert to fraction form
    274,442.58/411,606.27 = 77,404.50/x
  3. Step 3: Cross multiply
    274,442.58x = 411,606.27 × 77,404.50
  4. Step 4: Simplify right side
    274,442.58x = 31,860,177,526.22
  5. Step 5: Solve for x
    x = 31,860,177,526.22/274,442.58
  6. Step 6: Final answer
    x = 116,090.50

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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.