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Finding the Fourth Proportional to 366,968.64, 506,386.80 and 205,801.68

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Solution

The fourth proportional to 366,968.64, 506,386.80 and 205,801.68 is: 283,989.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,968.64 : 506,386.80 = 205,801.68 : x
  2. Step 2: Convert to fraction form
    366,968.64/506,386.80 = 205,801.68/x
  3. Step 3: Cross multiply
    366,968.64x = 506,386.80 × 205,801.68
  4. Step 4: Simplify right side
    366,968.64x = 104,215,254,169.82
  5. Step 5: Solve for x
    x = 104,215,254,169.82/366,968.64
  6. Step 6: Final answer
    x = 283,989.54

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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.