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Finding the Fourth Proportional to 380,388.02, 570,637.66 and 114,169.58

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Solution

The fourth proportional to 380,388.02, 570,637.66 and 114,169.58 is: 171,271.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,388.02 : 570,637.66 = 114,169.58 : x
  2. Step 2: Convert to fraction form
    380,388.02/570,637.66 = 114,169.58/x
  3. Step 3: Cross multiply
    380,388.02x = 570,637.66 × 114,169.58
  4. Step 4: Simplify right side
    380,388.02x = 65,149,461,974.38
  5. Step 5: Solve for x
    x = 65,149,461,974.38/380,388.02
  6. Step 6: Final answer
    x = 171,271.07

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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.