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Finding the Fourth Proportional to 586,634.96, 809,567.73 and 382,816.28

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Solution

The fourth proportional to 586,634.96, 809,567.73 and 382,816.28 is: 528,293.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,634.96 : 809,567.73 = 382,816.28 : x
  2. Step 2: Convert to fraction form
    586,634.96/809,567.73 = 382,816.28/x
  3. Step 3: Cross multiply
    586,634.96x = 809,567.73 × 382,816.28
  4. Step 4: Simplify right side
    586,634.96x = 309,915,702,758.81
  5. Step 5: Solve for x
    x = 309,915,702,758.81/586,634.96
  6. Step 6: Final answer
    x = 528,293.96

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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.