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Finding the Fourth Proportional to 531,813.87, 797,727.75 and 176,827.88

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Solution

The fourth proportional to 531,813.87, 797,727.75 and 176,827.88 is: 265,244.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,813.87 : 797,727.75 = 176,827.88 : x
  2. Step 2: Convert to fraction form
    531,813.87/797,727.75 = 176,827.88/x
  3. Step 3: Cross multiply
    531,813.87x = 797,727.75 × 176,827.88
  4. Step 4: Simplify right side
    531,813.87x = 141,060,510,504.25
  5. Step 5: Solve for x
    x = 141,060,510,504.25/531,813.87
  6. Step 6: Final answer
    x = 265,244.14

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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.