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Finding the Fourth Proportional to 366,782.22, 506,159.34 and 205,636.74

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Solution

The fourth proportional to 366,782.22, 506,159.34 and 205,636.74 is: 283,778.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,782.22 : 506,159.34 = 205,636.74 : x
  2. Step 2: Convert to fraction form
    366,782.22/506,159.34 = 205,636.74/x
  3. Step 3: Cross multiply
    366,782.22x = 506,159.34 × 205,636.74
  4. Step 4: Simplify right side
    366,782.22x = 104,084,956,598.15
  5. Step 5: Solve for x
    x = 104,084,956,598.15/366,782.22
  6. Step 6: Final answer
    x = 283,778.63

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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.