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Finding the Fourth Proportional to 405,842.80, 608,764.20 and 386,489.20

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Solution

The fourth proportional to 405,842.80, 608,764.20 and 386,489.20 is: 579,733.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,842.80 : 608,764.20 = 386,489.20 : x
  2. Step 2: Convert to fraction form
    405,842.80/608,764.20 = 386,489.20/x
  3. Step 3: Cross multiply
    405,842.80x = 608,764.20 × 386,489.20
  4. Step 4: Simplify right side
    405,842.80x = 235,280,788,646.64
  5. Step 5: Solve for x
    x = 235,280,788,646.64/405,842.80
  6. Step 6: Final answer
    x = 579,733.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.