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Finding the Fourth Proportional to 709,026.78, 978,460 and 386,743.80

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Solution

The fourth proportional to 709,026.78, 978,460 and 386,743.80 is: 533,708.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,026.78 : 978,460 = 386,743.80 : x
  2. Step 2: Convert to fraction form
    709,026.78/978,460 = 386,743.80/x
  3. Step 3: Cross multiply
    709,026.78x = 978,460 × 386,743.80
  4. Step 4: Simplify right side
    709,026.78x = 378,413,338,548
  5. Step 5: Solve for x
    x = 378,413,338,548/709,026.78
  6. Step 6: Final answer
    x = 533,708.10

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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.