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Finding the Fourth Proportional to 290,293.92, 435,468.42 and 112,814.64

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Solution

The fourth proportional to 290,293.92, 435,468.42 and 112,814.64 is: 169,232.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,293.92 : 435,468.42 = 112,814.64 : x
  2. Step 2: Convert to fraction form
    290,293.92/435,468.42 = 112,814.64/x
  3. Step 3: Cross multiply
    290,293.92x = 435,468.42 × 112,814.64
  4. Step 4: Simplify right side
    290,293.92x = 49,127,213,033.67
  5. Step 5: Solve for x
    x = 49,127,213,033.67/290,293.92
  6. Step 6: Final answer
    x = 169,232.66

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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.