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Finding the Fourth Proportional to 565,633.68, 780,462.54 and 317,283.63

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Solution

The fourth proportional to 565,633.68, 780,462.54 and 317,283.63 is: 437,788.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,633.68 : 780,462.54 = 317,283.63 : x
  2. Step 2: Convert to fraction form
    565,633.68/780,462.54 = 317,283.63/x
  3. Step 3: Cross multiply
    565,633.68x = 780,462.54 × 317,283.63
  4. Step 4: Simplify right side
    565,633.68x = 247,627,987,770.22
  5. Step 5: Solve for x
    x = 247,627,987,770.22/565,633.68
  6. Step 6: Final answer
    x = 437,788.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.