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Finding the Fourth Proportional to 531,664.72, 797,263 and 194,617.84

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Solution

The fourth proportional to 531,664.72, 797,263 and 194,617.84 is: 291,841.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,664.72 : 797,263 = 194,617.84 : x
  2. Step 2: Convert to fraction form
    531,664.72/797,263 = 194,617.84/x
  3. Step 3: Cross multiply
    531,664.72x = 797,263 × 194,617.84
  4. Step 4: Simplify right side
    531,664.72x = 155,161,602,971.92
  5. Step 5: Solve for x
    x = 155,161,602,971.92/531,664.72
  6. Step 6: Final answer
    x = 291,841.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.