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Finding the Fourth Proportional to 418,730.86, 577,831.98 and 227,744.47

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Solution

The fourth proportional to 418,730.86, 577,831.98 and 227,744.47 is: 314,278.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,730.86 : 577,831.98 = 227,744.47 : x
  2. Step 2: Convert to fraction form
    418,730.86/577,831.98 = 227,744.47/x
  3. Step 3: Cross multiply
    418,730.86x = 577,831.98 × 227,744.47
  4. Step 4: Simplify right side
    418,730.86x = 131,598,038,034.15
  5. Step 5: Solve for x
    x = 131,598,038,034.15/418,730.86
  6. Step 6: Final answer
    x = 314,278.34

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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.