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Finding the Fourth Proportional to 366,924.34, 506,359.26 and 205,775.93

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Solution

The fourth proportional to 366,924.34, 506,359.26 and 205,775.93 is: 283,972.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,924.34 : 506,359.26 = 205,775.93 : x
  2. Step 2: Convert to fraction form
    366,924.34/506,359.26 = 205,775.93/x
  3. Step 3: Cross multiply
    366,924.34x = 506,359.26 × 205,775.93
  4. Step 4: Simplify right side
    366,924.34x = 104,196,545,345.83
  5. Step 5: Solve for x
    x = 104,196,545,345.83/366,924.34
  6. Step 6: Final answer
    x = 283,972.84

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