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Finding the Fourth Proportional to 417,687.96, 575,973.54 and 247,889.28

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Solution

The fourth proportional to 417,687.96, 575,973.54 and 247,889.28 is: 341,828.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,687.96 : 575,973.54 = 247,889.28 : x
  2. Step 2: Convert to fraction form
    417,687.96/575,973.54 = 247,889.28/x
  3. Step 3: Cross multiply
    417,687.96x = 575,973.54 × 247,889.28
  4. Step 4: Simplify right side
    417,687.96x = 142,777,666,129.65
  5. Step 5: Solve for x
    x = 142,777,666,129.65/417,687.96
  6. Step 6: Final answer
    x = 341,828.54

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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.