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Finding the Fourth Proportional to 290,437.44, 435,683.04 and 112,957.92

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Solution

The fourth proportional to 290,437.44, 435,683.04 and 112,957.92 is: 169,447.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,437.44 : 435,683.04 = 112,957.92 : x
  2. Step 2: Convert to fraction form
    290,437.44/435,683.04 = 112,957.92/x
  3. Step 3: Cross multiply
    290,437.44x = 435,683.04 × 112,957.92
  4. Step 4: Simplify right side
    290,437.44x = 49,213,849,977.68
  5. Step 5: Solve for x
    x = 49,213,849,977.68/290,437.44
  6. Step 6: Final answer
    x = 169,447.33

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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.