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Finding the Fourth Proportional to 366,465.13, 548,941.10 and 271,802.21

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Solution

The fourth proportional to 366,465.13, 548,941.10 and 271,802.21 is: 407,142.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,465.13 : 548,941.10 = 271,802.21 : x
  2. Step 2: Convert to fraction form
    366,465.13/548,941.10 = 271,802.21/x
  3. Step 3: Cross multiply
    366,465.13x = 548,941.10 × 271,802.21
  4. Step 4: Simplify right side
    366,465.13x = 149,203,400,036.11
  5. Step 5: Solve for x
    x = 149,203,400,036.11/366,465.13
  6. Step 6: Final answer
    x = 407,142.15

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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.