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Finding the Fourth Proportional to 366,970.30, 506,419.93 and 214,113.58

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Solution

The fourth proportional to 366,970.30, 506,419.93 and 214,113.58 is: 295,477.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,970.30 : 506,419.93 = 214,113.58 : x
  2. Step 2: Convert to fraction form
    366,970.30/506,419.93 = 214,113.58/x
  3. Step 3: Cross multiply
    366,970.30x = 506,419.93 × 214,113.58
  4. Step 4: Simplify right side
    366,970.30x = 108,431,383,197.24
  5. Step 5: Solve for x
    x = 108,431,383,197.24/366,970.30
  6. Step 6: Final answer
    x = 295,477.27

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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.