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Finding the Fourth Proportional to 531,006.87, 796,215.01 and 175,827.13

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Solution

The fourth proportional to 531,006.87, 796,215.01 and 175,827.13 is: 263,642.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,006.87 : 796,215.01 = 175,827.13 : x
  2. Step 2: Convert to fraction form
    531,006.87/796,215.01 = 175,827.13/x
  3. Step 3: Cross multiply
    531,006.87x = 796,215.01 × 175,827.13
  4. Step 4: Simplify right side
    531,006.87x = 139,996,200,071.22
  5. Step 5: Solve for x
    x = 139,996,200,071.22/531,006.87
  6. Step 6: Final answer
    x = 263,642.92

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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.