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Finding the Fourth Proportional to 507,973.38, 700,976.33 and 290,139.27

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Solution

The fourth proportional to 507,973.38, 700,976.33 and 290,139.27 is: 400,376.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,973.38 : 700,976.33 = 290,139.27 : x
  2. Step 2: Convert to fraction form
    507,973.38/700,976.33 = 290,139.27/x
  3. Step 3: Cross multiply
    507,973.38x = 700,976.33 × 290,139.27
  4. Step 4: Simplify right side
    507,973.38x = 203,380,760,673.48
  5. Step 5: Solve for x
    x = 203,380,760,673.48/507,973.38
  6. Step 6: Final answer
    x = 400,376.81

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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.