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Finding the Fourth Proportional to 493,254.16, 737,743.44 and 290,366.62

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Solution

The fourth proportional to 493,254.16, 737,743.44 and 290,366.62 is: 434,291.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,254.16 : 737,743.44 = 290,366.62 : x
  2. Step 2: Convert to fraction form
    493,254.16/737,743.44 = 290,366.62/x
  3. Step 3: Cross multiply
    493,254.16x = 737,743.44 × 290,366.62
  4. Step 4: Simplify right side
    493,254.16x = 214,216,072,494.30
  5. Step 5: Solve for x
    x = 214,216,072,494.30/493,254.16
  6. Step 6: Final answer
    x = 434,291.47

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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.