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Finding the Fourth Proportional to 460,234, 635,122.24 and 256,302.78

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Solution

The fourth proportional to 460,234, 635,122.24 and 256,302.78 is: 353,697.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,234 : 635,122.24 = 256,302.78 : x
  2. Step 2: Convert to fraction form
    460,234/635,122.24 = 256,302.78/x
  3. Step 3: Cross multiply
    460,234x = 635,122.24 × 256,302.78
  4. Step 4: Simplify right side
    460,234x = 162,783,595,751.83
  5. Step 5: Solve for x
    x = 162,783,595,751.83/460,234
  6. Step 6: Final answer
    x = 353,697.46

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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.