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Finding the Fourth Proportional to 319,142.06, 440,418.10 and 175,902.12

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Solution

The fourth proportional to 319,142.06, 440,418.10 and 175,902.12 is: 242,746.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,142.06 : 440,418.10 = 175,902.12 : x
  2. Step 2: Convert to fraction form
    319,142.06/440,418.10 = 175,902.12/x
  3. Step 3: Cross multiply
    319,142.06x = 440,418.10 × 175,902.12
  4. Step 4: Simplify right side
    319,142.06x = 77,470,477,476.37
  5. Step 5: Solve for x
    x = 77,470,477,476.37/319,142.06
  6. Step 6: Final answer
    x = 242,746.06

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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.