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Finding the Fourth Proportional to 586,616.58, 809,542.35 and 382,797.90

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Solution

The fourth proportional to 586,616.58, 809,542.35 and 382,797.90 is: 528,268.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,616.58 : 809,542.35 = 382,797.90 : x
  2. Step 2: Convert to fraction form
    586,616.58/809,542.35 = 382,797.90/x
  3. Step 3: Cross multiply
    586,616.58x = 809,542.35 × 382,797.90
  4. Step 4: Simplify right side
    586,616.58x = 309,891,111,541.07
  5. Step 5: Solve for x
    x = 309,891,111,541.07/586,616.58
  6. Step 6: Final answer
    x = 528,268.59

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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.