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Finding the Fourth Proportional to 287,628.38, 396,929.13 and 160,312.17

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Solution

The fourth proportional to 287,628.38, 396,929.13 and 160,312.17 is: 221,231.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,628.38 : 396,929.13 = 160,312.17 : x
  2. Step 2: Convert to fraction form
    287,628.38/396,929.13 = 160,312.17/x
  3. Step 3: Cross multiply
    287,628.38x = 396,929.13 × 160,312.17
  4. Step 4: Simplify right side
    287,628.38x = 63,632,570,166.51
  5. Step 5: Solve for x
    x = 63,632,570,166.51/287,628.38
  6. Step 6: Final answer
    x = 221,231.89

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Why These Related Problems?

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