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Finding the Fourth Proportional to 229,978.52, 317,285.23 and 229,623.84

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Solution

The fourth proportional to 229,978.52, 317,285.23 and 229,623.84 is: 316,795.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,978.52 : 317,285.23 = 229,623.84 : x
  2. Step 2: Convert to fraction form
    229,978.52/317,285.23 = 229,623.84/x
  3. Step 3: Cross multiply
    229,978.52x = 317,285.23 × 229,623.84
  4. Step 4: Simplify right side
    229,978.52x = 72,856,251,206.19
  5. Step 5: Solve for x
    x = 72,856,251,206.19/229,978.52
  6. Step 6: Final answer
    x = 316,795.90

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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.