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Finding the Fourth Proportional to 538,065.90, 742,564.64 and 296,348.42

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Solution

The fourth proportional to 538,065.90, 742,564.64 and 296,348.42 is: 408,979.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,065.90 : 742,564.64 = 296,348.42 : x
  2. Step 2: Convert to fraction form
    538,065.90/742,564.64 = 296,348.42/x
  3. Step 3: Cross multiply
    538,065.90x = 742,564.64 × 296,348.42
  4. Step 4: Simplify right side
    538,065.90x = 220,057,857,811.87
  5. Step 5: Solve for x
    x = 220,057,857,811.87/538,065.90
  6. Step 6: Final answer
    x = 408,979.38

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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.