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Finding the Fourth Proportional to 586,753.56, 809,459.40 and 382,757.52

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Solution

The fourth proportional to 586,753.56, 809,459.40 and 382,757.52 is: 528,035.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,753.56 : 809,459.40 = 382,757.52 : x
  2. Step 2: Convert to fraction form
    586,753.56/809,459.40 = 382,757.52/x
  3. Step 3: Cross multiply
    586,753.56x = 809,459.40 × 382,757.52
  4. Step 4: Simplify right side
    586,753.56x = 309,826,672,484.69
  5. Step 5: Solve for x
    x = 309,826,672,484.69/586,753.56
  6. Step 6: Final answer
    x = 528,035.44

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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.