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Finding the Fourth Proportional to 392,887, 542,184.06 and 214,039

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Solution

The fourth proportional to 392,887, 542,184.06 and 214,039 is: 295,373.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,887 : 542,184.06 = 214,039 : x
  2. Step 2: Convert to fraction form
    392,887/542,184.06 = 214,039/x
  3. Step 3: Cross multiply
    392,887x = 542,184.06 × 214,039
  4. Step 4: Simplify right side
    392,887x = 116,048,534,018.34
  5. Step 5: Solve for x
    x = 116,048,534,018.34/392,887
  6. Step 6: Final answer
    x = 295,373.82

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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.