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Finding the Fourth Proportional to 407,759.52, 562,048.56 and 304,217.76

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Solution

The fourth proportional to 407,759.52, 562,048.56 and 304,217.76 is: 419,328.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,759.52 : 562,048.56 = 304,217.76 : x
  2. Step 2: Convert to fraction form
    407,759.52/562,048.56 = 304,217.76/x
  3. Step 3: Cross multiply
    407,759.52x = 562,048.56 × 304,217.76
  4. Step 4: Simplify right side
    407,759.52x = 170,985,153,934.43
  5. Step 5: Solve for x
    x = 170,985,153,934.43/407,759.52
  6. Step 6: Final answer
    x = 419,328.42

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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.