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Finding the Fourth Proportional to 298,567.65, 412,057.38 and 177,709.35

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Solution

The fourth proportional to 298,567.65, 412,057.38 and 177,709.35 is: 245,259.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,567.65 : 412,057.38 = 177,709.35 : x
  2. Step 2: Convert to fraction form
    298,567.65/412,057.38 = 177,709.35/x
  3. Step 3: Cross multiply
    298,567.65x = 412,057.38 × 177,709.35
  4. Step 4: Simplify right side
    298,567.65x = 73,226,449,162.50
  5. Step 5: Solve for x
    x = 73,226,449,162.50/298,567.65
  6. Step 6: Final answer
    x = 245,259.15

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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.