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Finding the Fourth Proportional to 388,831.38, 536,587.31 and 209,983.38

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Solution

The fourth proportional to 388,831.38, 536,587.31 and 209,983.38 is: 289,777.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,831.38 : 536,587.31 = 209,983.38 : x
  2. Step 2: Convert to fraction form
    388,831.38/536,587.31 = 209,983.38/x
  3. Step 3: Cross multiply
    388,831.38x = 536,587.31 × 209,983.38
  4. Step 4: Simplify right side
    388,831.38x = 112,674,417,018.91
  5. Step 5: Solve for x
    x = 112,674,417,018.91/388,831.38
  6. Step 6: Final answer
    x = 289,777.07

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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.