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Finding the Fourth Proportional to 344,775.66, 517,647.90 and 176,416.74

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Solution

The fourth proportional to 344,775.66, 517,647.90 and 176,416.74 is: 264,872.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,775.66 : 517,647.90 = 176,416.74 : x
  2. Step 2: Convert to fraction form
    344,775.66/517,647.90 = 176,416.74/x
  3. Step 3: Cross multiply
    344,775.66x = 517,647.90 × 176,416.74
  4. Step 4: Simplify right side
    344,775.66x = 91,321,754,985.85
  5. Step 5: Solve for x
    x = 91,321,754,985.85/344,775.66
  6. Step 6: Final answer
    x = 264,872.98

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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.