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Finding the Fourth Proportional to 287,678.24, 396,981.54 and 160,329.24

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Solution

The fourth proportional to 287,678.24, 396,981.54 and 160,329.24 is: 221,246.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,678.24 : 396,981.54 = 160,329.24 : x
  2. Step 2: Convert to fraction form
    287,678.24/396,981.54 = 160,329.24/x
  3. Step 3: Cross multiply
    287,678.24x = 396,981.54 × 160,329.24
  4. Step 4: Simplify right side
    287,678.24x = 63,647,748,602.23
  5. Step 5: Solve for x
    x = 63,647,748,602.23/287,678.24
  6. Step 6: Final answer
    x = 221,246.31

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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.