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Finding the Fourth Proportional to 505,545.82, 697,657.99 and 287,743.86

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Solution

The fourth proportional to 505,545.82, 697,657.99 and 287,743.86 is: 397,089.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,545.82 : 697,657.99 = 287,743.86 : x
  2. Step 2: Convert to fraction form
    505,545.82/697,657.99 = 287,743.86/x
  3. Step 3: Cross multiply
    505,545.82x = 697,657.99 × 287,743.86
  4. Step 4: Simplify right side
    505,545.82x = 200,746,802,013.32
  5. Step 5: Solve for x
    x = 200,746,802,013.32/505,545.82
  6. Step 6: Final answer
    x = 397,089.23

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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.