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Finding the Fourth Proportional to 565,693.29, 780,654.03 and 333,255.17

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Solution

The fourth proportional to 565,693.29, 780,654.03 and 333,255.17 is: 459,890.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,693.29 : 780,654.03 = 333,255.17 : x
  2. Step 2: Convert to fraction form
    565,693.29/780,654.03 = 333,255.17/x
  3. Step 3: Cross multiply
    565,693.29x = 780,654.03 × 333,255.17
  4. Step 4: Simplify right side
    565,693.29x = 260,156,991,478.84
  5. Step 5: Solve for x
    x = 260,156,991,478.84/565,693.29
  6. Step 6: Final answer
    x = 459,890.54

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Why These Related Problems?

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