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Finding the Fourth Proportional to 297,693.90, 410,852.96 and 176,835.83

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Solution

The fourth proportional to 297,693.90, 410,852.96 and 176,835.83 is: 244,054.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,693.90 : 410,852.96 = 176,835.83 : x
  2. Step 2: Convert to fraction form
    297,693.90/410,852.96 = 176,835.83/x
  3. Step 3: Cross multiply
    297,693.90x = 410,852.96 × 176,835.83
  4. Step 4: Simplify right side
    297,693.90x = 72,653,521,914.25
  5. Step 5: Solve for x
    x = 72,653,521,914.25/297,693.90
  6. Step 6: Final answer
    x = 244,054.45

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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.