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Finding the Fourth Proportional to 656,829.69, 906,424.47 and 355,023.69

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Solution

The fourth proportional to 656,829.69, 906,424.47 and 355,023.69 is: 489,932.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,829.69 : 906,424.47 = 355,023.69 : x
  2. Step 2: Convert to fraction form
    656,829.69/906,424.47 = 355,023.69/x
  3. Step 3: Cross multiply
    656,829.69x = 906,424.47 × 355,023.69
  4. Step 4: Simplify right side
    656,829.69x = 321,802,160,045.69
  5. Step 5: Solve for x
    x = 321,802,160,045.69/656,829.69
  6. Step 6: Final answer
    x = 489,932.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.