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Finding the Fourth Proportional to 505,690.93, 697,874.64 and 290,831.14

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Solution

The fourth proportional to 505,690.93, 697,874.64 and 290,831.14 is: 401,359.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,690.93 : 697,874.64 = 290,831.14 : x
  2. Step 2: Convert to fraction form
    505,690.93/697,874.64 = 290,831.14/x
  3. Step 3: Cross multiply
    505,690.93x = 697,874.64 × 290,831.14
  4. Step 4: Simplify right side
    505,690.93x = 202,963,673,638.92
  5. Step 5: Solve for x
    x = 202,963,673,638.92/505,690.93
  6. Step 6: Final answer
    x = 401,359.14

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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.