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Finding the Fourth Proportional to 709,141.75, 978,615.62 and 386,853.13

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Solution

The fourth proportional to 709,141.75, 978,615.62 and 386,853.13 is: 533,857.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,141.75 : 978,615.62 = 386,853.13 : x
  2. Step 2: Convert to fraction form
    709,141.75/978,615.62 = 386,853.13/x
  3. Step 3: Cross multiply
    709,141.75x = 978,615.62 × 386,853.13
  4. Step 4: Simplify right side
    709,141.75x = 378,580,515,663.89
  5. Step 5: Solve for x
    x = 378,580,515,663.89/709,141.75
  6. Step 6: Final answer
    x = 533,857.32

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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.