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Finding the Fourth Proportional to 709,084.98, 978,543.51 and 386,796.51

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Solution

The fourth proportional to 709,084.98, 978,543.51 and 386,796.51 is: 533,782.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,084.98 : 978,543.51 = 386,796.51 : x
  2. Step 2: Convert to fraction form
    709,084.98/978,543.51 = 386,796.51/x
  3. Step 3: Cross multiply
    709,084.98x = 978,543.51 × 386,796.51
  4. Step 4: Simplify right side
    709,084.98x = 378,497,214,551.15
  5. Step 5: Solve for x
    x = 378,497,214,551.15/709,084.98
  6. Step 6: Final answer
    x = 533,782.59

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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.