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Finding the Fourth Proportional to 319,774.01, 441,285.50 and 176,531

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Solution

The fourth proportional to 319,774.01, 441,285.50 and 176,531 is: 243,611.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,774.01 : 441,285.50 = 176,531 : x
  2. Step 2: Convert to fraction form
    319,774.01/441,285.50 = 176,531/x
  3. Step 3: Cross multiply
    319,774.01x = 441,285.50 × 176,531
  4. Step 4: Simplify right side
    319,774.01x = 77,900,569,717.85
  5. Step 5: Solve for x
    x = 77,900,569,717.85/319,774.01
  6. Step 6: Final answer
    x = 243,611.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.