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Finding the Fourth Proportional to 762,548.52, 1,052,307.18 and 413,683.80

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Solution

The fourth proportional to 762,548.52, 1,052,307.18 and 413,683.80 is: 570,878.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,548.52 : 1,052,307.18 = 413,683.80 : x
  2. Step 2: Convert to fraction form
    762,548.52/1,052,307.18 = 413,683.80/x
  3. Step 3: Cross multiply
    762,548.52x = 1,052,307.18 × 413,683.80
  4. Step 4: Simplify right side
    762,548.52x = 435,322,432,989.68
  5. Step 5: Solve for x
    x = 435,322,432,989.68/762,548.52
  6. Step 6: Final answer
    x = 570,878.34

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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.