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Finding the Fourth Proportional to 414,828.88, 572,293.56 and 307,662.64

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Solution

The fourth proportional to 414,828.88, 572,293.56 and 307,662.64 is: 424,448.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,828.88 : 572,293.56 = 307,662.64 : x
  2. Step 2: Convert to fraction form
    414,828.88/572,293.56 = 307,662.64/x
  3. Step 3: Cross multiply
    414,828.88x = 572,293.56 × 307,662.64
  4. Step 4: Simplify right side
    414,828.88x = 176,073,347,524.60
  5. Step 5: Solve for x
    x = 176,073,347,524.60/414,828.88
  6. Step 6: Final answer
    x = 424,448.14

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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.