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Finding the Fourth Proportional to 413,271.72, 620,010.54 and 117,783.72

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Solution

The fourth proportional to 413,271.72, 620,010.54 and 117,783.72 is: 176,704.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,271.72 : 620,010.54 = 117,783.72 : x
  2. Step 2: Convert to fraction form
    413,271.72/620,010.54 = 117,783.72/x
  3. Step 3: Cross multiply
    413,271.72x = 620,010.54 × 117,783.72
  4. Step 4: Simplify right side
    413,271.72x = 73,027,147,840.41
  5. Step 5: Solve for x
    x = 73,027,147,840.41/413,271.72
  6. Step 6: Final answer
    x = 176,704.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.