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Finding the Fourth Proportional to 709,186.12, 978,657.53 and 386,896.16

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Solution

The fourth proportional to 709,186.12, 978,657.53 and 386,896.16 is: 533,906.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,186.12 : 978,657.53 = 386,896.16 : x
  2. Step 2: Convert to fraction form
    709,186.12/978,657.53 = 386,896.16/x
  3. Step 3: Cross multiply
    709,186.12x = 978,657.53 × 386,896.16
  4. Step 4: Simplify right side
    709,186.12x = 378,638,840,824.25
  5. Step 5: Solve for x
    x = 378,638,840,824.25/709,186.12
  6. Step 6: Final answer
    x = 533,906.17

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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.