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Finding the Fourth Proportional to 287,941, 397,358.94 and 160,624.72

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Solution

The fourth proportional to 287,941, 397,358.94 and 160,624.72 is: 221,662.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,941 : 397,358.94 = 160,624.72 : x
  2. Step 2: Convert to fraction form
    287,941/397,358.94 = 160,624.72/x
  3. Step 3: Cross multiply
    287,941x = 397,358.94 × 160,624.72
  4. Step 4: Simplify right side
    287,941x = 63,825,668,477.00
  5. Step 5: Solve for x
    x = 63,825,668,477.00/287,941
  6. Step 6: Final answer
    x = 221,662.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.