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Finding the Fourth Proportional to 538,132.72, 742,628.28 and 296,416.36

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Solution

The fourth proportional to 538,132.72, 742,628.28 and 296,416.36 is: 409,057.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,132.72 : 742,628.28 = 296,416.36 : x
  2. Step 2: Convert to fraction form
    538,132.72/742,628.28 = 296,416.36/x
  3. Step 3: Cross multiply
    538,132.72x = 742,628.28 × 296,416.36
  4. Step 4: Simplify right side
    538,132.72x = 220,127,171,590.66
  5. Step 5: Solve for x
    x = 220,127,171,590.66/538,132.72
  6. Step 6: Final answer
    x = 409,057.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.