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Finding the Fourth Proportional to 370,597.74, 511,424.85 and 200,831.86

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Solution

The fourth proportional to 370,597.74, 511,424.85 and 200,831.86 is: 277,147.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,597.74 : 511,424.85 = 200,831.86 : x
  2. Step 2: Convert to fraction form
    370,597.74/511,424.85 = 200,831.86/x
  3. Step 3: Cross multiply
    370,597.74x = 511,424.85 × 200,831.86
  4. Step 4: Simplify right side
    370,597.74x = 102,710,403,875.72
  5. Step 5: Solve for x
    x = 102,710,403,875.72/370,597.74
  6. Step 6: Final answer
    x = 277,147.95

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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.