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Finding the Fourth Proportional to 366,660.50, 506,011.41 and 205,567.22

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Solution

The fourth proportional to 366,660.50, 506,011.41 and 205,567.22 is: 283,693.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,660.50 : 506,011.41 = 205,567.22 : x
  2. Step 2: Convert to fraction form
    366,660.50/506,011.41 = 205,567.22/x
  3. Step 3: Cross multiply
    366,660.50x = 506,011.41 × 205,567.22
  4. Step 4: Simplify right side
    366,660.50x = 104,019,358,841.98
  5. Step 5: Solve for x
    x = 104,019,358,841.98/366,660.50
  6. Step 6: Final answer
    x = 283,693.93

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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.