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Finding the Fourth Proportional to 405,338.28, 605,039.16 and 357,456.30

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Solution

The fourth proportional to 405,338.28, 605,039.16 and 357,456.30 is: 533,566.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,338.28 : 605,039.16 = 357,456.30 : x
  2. Step 2: Convert to fraction form
    405,338.28/605,039.16 = 357,456.30/x
  3. Step 3: Cross multiply
    405,338.28x = 605,039.16 × 357,456.30
  4. Step 4: Simplify right side
    405,338.28x = 216,275,059,488.71
  5. Step 5: Solve for x
    x = 216,275,059,488.71/405,338.28
  6. Step 6: Final answer
    x = 533,566.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.