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Finding the Fourth Proportional to 369,944, 510,522.72 and 210,968

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Solution

The fourth proportional to 369,944, 510,522.72 and 210,968 is: 291,135.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,944 : 510,522.72 = 210,968 : x
  2. Step 2: Convert to fraction form
    369,944/510,522.72 = 210,968/x
  3. Step 3: Cross multiply
    369,944x = 510,522.72 × 210,968
  4. Step 4: Simplify right side
    369,944x = 107,703,957,192.96
  5. Step 5: Solve for x
    x = 107,703,957,192.96/369,944
  6. Step 6: Final answer
    x = 291,135.84

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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.