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Finding the Fourth Proportional to 532,947.70, 735,466.35 and 291,231.82

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Solution

The fourth proportional to 532,947.70, 735,466.35 and 291,231.82 is: 401,899.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,947.70 : 735,466.35 = 291,231.82 : x
  2. Step 2: Convert to fraction form
    532,947.70/735,466.35 = 291,231.82/x
  3. Step 3: Cross multiply
    532,947.70x = 735,466.35 × 291,231.82
  4. Step 4: Simplify right side
    532,947.70x = 214,191,203,659.26
  5. Step 5: Solve for x
    x = 214,191,203,659.26/532,947.70
  6. Step 6: Final answer
    x = 401,899.11

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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.