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Finding the Fourth Proportional to 382,039.02, 573,078.15 and 97,732.03

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Solution

The fourth proportional to 382,039.02, 573,078.15 and 97,732.03 is: 146,603.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,039.02 : 573,078.15 = 97,732.03 : x
  2. Step 2: Convert to fraction form
    382,039.02/573,078.15 = 97,732.03/x
  3. Step 3: Cross multiply
    382,039.02x = 573,078.15 × 97,732.03
  4. Step 4: Simplify right side
    382,039.02x = 56,008,091,533.30
  5. Step 5: Solve for x
    x = 56,008,091,533.30/382,039.02
  6. Step 6: Final answer
    x = 146,603.07

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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.