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Finding the Fourth Proportional to 538,320.96, 742,876.99 and 308,914.34

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Solution

The fourth proportional to 538,320.96, 742,876.99 and 308,914.34 is: 426,298.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,320.96 : 742,876.99 = 308,914.34 : x
  2. Step 2: Convert to fraction form
    538,320.96/742,876.99 = 308,914.34/x
  3. Step 3: Cross multiply
    538,320.96x = 742,876.99 × 308,914.34
  4. Step 4: Simplify right side
    538,320.96x = 229,485,350,580.37
  5. Step 5: Solve for x
    x = 229,485,350,580.37/538,320.96
  6. Step 6: Final answer
    x = 426,298.38

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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.