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Finding the Fourth Proportional to 506,831.34, 699,427.53 and 277,388.85

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Solution

The fourth proportional to 506,831.34, 699,427.53 and 277,388.85 is: 382,796.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,831.34 : 699,427.53 = 277,388.85 : x
  2. Step 2: Convert to fraction form
    506,831.34/699,427.53 = 277,388.85/x
  3. Step 3: Cross multiply
    506,831.34x = 699,427.53 × 277,388.85
  4. Step 4: Simplify right side
    506,831.34x = 194,013,398,205.04
  5. Step 5: Solve for x
    x = 194,013,398,205.04/506,831.34
  6. Step 6: Final answer
    x = 382,796.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.