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Finding the Fourth Proportional to 709,029.78, 978,464.16 and 386,746.80

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Solution

The fourth proportional to 709,029.78, 978,464.16 and 386,746.80 is: 533,712.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,029.78 : 978,464.16 = 386,746.80 : x
  2. Step 2: Convert to fraction form
    709,029.78/978,464.16 = 386,746.80/x
  3. Step 3: Cross multiply
    709,029.78x = 978,464.16 × 386,746.80
  4. Step 4: Simplify right side
    709,029.78x = 378,417,882,794.69
  5. Step 5: Solve for x
    x = 378,417,882,794.69/709,029.78
  6. Step 6: Final answer
    x = 533,712.26

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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.