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Finding the Fourth Proportional to 357,467.30, 536,291.71 and 165,480.14

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Solution

The fourth proportional to 357,467.30, 536,291.71 and 165,480.14 is: 248,262.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,467.30 : 536,291.71 = 165,480.14 : x
  2. Step 2: Convert to fraction form
    357,467.30/536,291.71 = 165,480.14/x
  3. Step 3: Cross multiply
    357,467.30x = 536,291.71 × 165,480.14
  4. Step 4: Simplify right side
    357,467.30x = 88,745,624,156.48
  5. Step 5: Solve for x
    x = 88,745,624,156.48/357,467.30
  6. Step 6: Final answer
    x = 248,262.22

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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.