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Finding the Fourth Proportional to 709,187.41, 978,680.94 and 386,904.28

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Solution

The fourth proportional to 709,187.41, 978,680.94 and 386,904.28 is: 533,929.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,187.41 : 978,680.94 = 386,904.28 : x
  2. Step 2: Convert to fraction form
    709,187.41/978,680.94 = 386,904.28/x
  3. Step 3: Cross multiply
    709,187.41x = 978,680.94 × 386,904.28
  4. Step 4: Simplify right side
    709,187.41x = 378,655,844,440.42
  5. Step 5: Solve for x
    x = 378,655,844,440.42/709,187.41
  6. Step 6: Final answer
    x = 533,929.17

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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.