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Finding the Fourth Proportional to 413,094.56, 569,615.15 and 285,548.72

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Solution

The fourth proportional to 413,094.56, 569,615.15 and 285,548.72 is: 393,742.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,094.56 : 569,615.15 = 285,548.72 : x
  2. Step 2: Convert to fraction form
    413,094.56/569,615.15 = 285,548.72/x
  3. Step 3: Cross multiply
    413,094.56x = 569,615.15 × 285,548.72
  4. Step 4: Simplify right side
    413,094.56x = 162,652,874,840.90
  5. Step 5: Solve for x
    x = 162,652,874,840.90/413,094.56
  6. Step 6: Final answer
    x = 393,742.48

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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.