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Finding the Fourth Proportional to 709,030.78, 978,465.54 and 386,747.80

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Solution

The fourth proportional to 709,030.78, 978,465.54 and 386,747.80 is: 533,713.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,030.78 : 978,465.54 = 386,747.80 : x
  2. Step 2: Convert to fraction form
    709,030.78/978,465.54 = 386,747.80/x
  3. Step 3: Cross multiply
    709,030.78x = 978,465.54 × 386,747.80
  4. Step 4: Simplify right side
    709,030.78x = 378,419,394,970.81
  5. Step 5: Solve for x
    x = 378,419,394,970.81/709,030.78
  6. Step 6: Final answer
    x = 533,713.64

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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.