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Finding the Fourth Proportional to 366,160, 505,308.48 and 207,184

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Solution

The fourth proportional to 366,160, 505,308.48 and 207,184 is: 285,918.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,160 : 505,308.48 = 207,184 : x
  2. Step 2: Convert to fraction form
    366,160/505,308.48 = 207,184/x
  3. Step 3: Cross multiply
    366,160x = 505,308.48 × 207,184
  4. Step 4: Simplify right side
    366,160x = 104,691,832,120.32
  5. Step 5: Solve for x
    x = 104,691,832,120.32/366,160
  6. Step 6: Final answer
    x = 285,918.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.