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Finding the Fourth Proportional to 532,730.74, 735,190.77 and 306,376.42

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Solution

The fourth proportional to 532,730.74, 735,190.77 and 306,376.42 is: 422,812.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,730.74 : 735,190.77 = 306,376.42 : x
  2. Step 2: Convert to fraction form
    532,730.74/735,190.77 = 306,376.42/x
  3. Step 3: Cross multiply
    532,730.74x = 735,190.77 × 306,376.42
  4. Step 4: Simplify right side
    532,730.74x = 225,245,116,129.64
  5. Step 5: Solve for x
    x = 225,245,116,129.64/532,730.74
  6. Step 6: Final answer
    x = 422,812.31

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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.