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Finding the Fourth Proportional to 565,355.60, 780,372.56 and 361,954.35

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Solution

The fourth proportional to 565,355.60, 780,372.56 and 361,954.35 is: 499,613.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,355.60 : 780,372.56 = 361,954.35 : x
  2. Step 2: Convert to fraction form
    565,355.60/780,372.56 = 361,954.35/x
  3. Step 3: Cross multiply
    565,355.60x = 780,372.56 × 361,954.35
  4. Step 4: Simplify right side
    565,355.60x = 282,459,240,902.86
  5. Step 5: Solve for x
    x = 282,459,240,902.86/565,355.60
  6. Step 6: Final answer
    x = 499,613.42

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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.