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Finding the Fourth Proportional to 415,022.49, 572,724.95 and 233,734.77

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Solution

The fourth proportional to 415,022.49, 572,724.95 and 233,734.77 is: 322,550.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,022.49 : 572,724.95 = 233,734.77 : x
  2. Step 2: Convert to fraction form
    415,022.49/572,724.95 = 233,734.77/x
  3. Step 3: Cross multiply
    415,022.49x = 572,724.95 × 233,734.77
  4. Step 4: Simplify right side
    415,022.49x = 133,865,733,292.84
  5. Step 5: Solve for x
    x = 133,865,733,292.84/415,022.49
  6. Step 6: Final answer
    x = 322,550.55

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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.