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Finding the Fourth Proportional to 585,211.66, 807,268.73 and 476,433.01

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Solution

The fourth proportional to 585,211.66, 807,268.73 and 476,433.01 is: 657,214.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,211.66 : 807,268.73 = 476,433.01 : x
  2. Step 2: Convert to fraction form
    585,211.66/807,268.73 = 476,433.01/x
  3. Step 3: Cross multiply
    585,211.66x = 807,268.73 × 476,433.01
  4. Step 4: Simplify right side
    585,211.66x = 384,609,466,876.43
  5. Step 5: Solve for x
    x = 384,609,466,876.43/585,211.66
  6. Step 6: Final answer
    x = 657,214.30

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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.