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Finding the Fourth Proportional to 285,946.67, 428,620.70 and 96,341.51

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Solution

The fourth proportional to 285,946.67, 428,620.70 and 96,341.51 is: 144,411.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,946.67 : 428,620.70 = 96,341.51 : x
  2. Step 2: Convert to fraction form
    285,946.67/428,620.70 = 96,341.51/x
  3. Step 3: Cross multiply
    285,946.67x = 428,620.70 × 96,341.51
  4. Step 4: Simplify right side
    285,946.67x = 41,293,965,455.26
  5. Step 5: Solve for x
    x = 41,293,965,455.26/285,946.67
  6. Step 6: Final answer
    x = 144,411.42

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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.