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Finding the Fourth Proportional to 467,892.94, 645,693.74 and 253,034.50

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Solution

The fourth proportional to 467,892.94, 645,693.74 and 253,034.50 is: 349,188.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,892.94 : 645,693.74 = 253,034.50 : x
  2. Step 2: Convert to fraction form
    467,892.94/645,693.74 = 253,034.50/x
  3. Step 3: Cross multiply
    467,892.94x = 645,693.74 × 253,034.50
  4. Step 4: Simplify right side
    467,892.94x = 163,382,792,654.03
  5. Step 5: Solve for x
    x = 163,382,792,654.03/467,892.94
  6. Step 6: Final answer
    x = 349,188.41

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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.