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Finding the Fourth Proportional to 472,027.34, 707,887.89 and 156,399.50

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Solution

The fourth proportional to 472,027.34, 707,887.89 and 156,399.50 is: 234,548.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,027.34 : 707,887.89 = 156,399.50 : x
  2. Step 2: Convert to fraction form
    472,027.34/707,887.89 = 156,399.50/x
  3. Step 3: Cross multiply
    472,027.34x = 707,887.89 × 156,399.50
  4. Step 4: Simplify right side
    472,027.34x = 110,713,312,052.06
  5. Step 5: Solve for x
    x = 110,713,312,052.06/472,027.34
  6. Step 6: Final answer
    x = 234,548.52

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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.