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Finding the Fourth Proportional to 366,819.93, 506,205 and 205,674.48

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Solution

The fourth proportional to 366,819.93, 506,205 and 205,674.48 is: 283,827.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,819.93 : 506,205 = 205,674.48 : x
  2. Step 2: Convert to fraction form
    366,819.93/506,205 = 205,674.48/x
  3. Step 3: Cross multiply
    366,819.93x = 506,205 × 205,674.48
  4. Step 4: Simplify right side
    366,819.93x = 104,113,450,148.40
  5. Step 5: Solve for x
    x = 104,113,450,148.40/366,819.93
  6. Step 6: Final answer
    x = 283,827.14

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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.