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Finding the Fourth Proportional to 531,032.96, 796,221.84 and 260,817.44

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Solution

The fourth proportional to 531,032.96, 796,221.84 and 260,817.44 is: 391,065.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,032.96 : 796,221.84 = 260,817.44 : x
  2. Step 2: Convert to fraction form
    531,032.96/796,221.84 = 260,817.44/x
  3. Step 3: Cross multiply
    531,032.96x = 796,221.84 × 260,817.44
  4. Step 4: Simplify right side
    531,032.96x = 207,668,541,980.89
  5. Step 5: Solve for x
    x = 207,668,541,980.89/531,032.96
  6. Step 6: Final answer
    x = 391,065.26

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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.