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Finding the Fourth Proportional to 565,355.41, 780,372.29 and 361,954.16

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Solution

The fourth proportional to 565,355.41, 780,372.29 and 361,954.16 is: 499,613.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,355.41 : 780,372.29 = 361,954.16 : x
  2. Step 2: Convert to fraction form
    565,355.41/780,372.29 = 361,954.16/x
  3. Step 3: Cross multiply
    565,355.41x = 780,372.29 × 361,954.16
  4. Step 4: Simplify right side
    565,355.41x = 282,458,999,570.04
  5. Step 5: Solve for x
    x = 282,458,999,570.04/565,355.41
  6. Step 6: Final answer
    x = 499,613.16

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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.