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Finding the Fourth Proportional to 382,683.36, 573,652.88 and 182,952

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Solution

The fourth proportional to 382,683.36, 573,652.88 and 182,952 is: 274,250.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,683.36 : 573,652.88 = 182,952 : x
  2. Step 2: Convert to fraction form
    382,683.36/573,652.88 = 182,952/x
  3. Step 3: Cross multiply
    382,683.36x = 573,652.88 × 182,952
  4. Step 4: Simplify right side
    382,683.36x = 104,950,941,701.76
  5. Step 5: Solve for x
    x = 104,950,941,701.76/382,683.36
  6. Step 6: Final answer
    x = 274,250.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.