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Finding the Fourth Proportional to 298,568.65, 412,058.76 and 177,710.35

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Solution

The fourth proportional to 298,568.65, 412,058.76 and 177,710.35 is: 245,260.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,568.65 : 412,058.76 = 177,710.35 : x
  2. Step 2: Convert to fraction form
    298,568.65/412,058.76 = 177,710.35/x
  3. Step 3: Cross multiply
    298,568.65x = 412,058.76 × 177,710.35
  4. Step 4: Simplify right side
    298,568.65x = 73,227,106,460.17
  5. Step 5: Solve for x
    x = 73,227,106,460.17/298,568.65
  6. Step 6: Final answer
    x = 245,260.53

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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.