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Finding the Fourth Proportional to 709,100.48, 978,577.12 and 386,816

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Solution

The fourth proportional to 709,100.48, 978,577.12 and 386,816 is: 533,816.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,100.48 : 978,577.12 = 386,816 : x
  2. Step 2: Convert to fraction form
    709,100.48/978,577.12 = 386,816/x
  3. Step 3: Cross multiply
    709,100.48x = 978,577.12 × 386,816
  4. Step 4: Simplify right side
    709,100.48x = 378,529,287,249.92
  5. Step 5: Solve for x
    x = 378,529,287,249.92/709,100.48
  6. Step 6: Final answer
    x = 533,816.15

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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.