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Finding the Fourth Proportional to 366,928.93, 506,365.59 and 205,780.52

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Solution

The fourth proportional to 366,928.93, 506,365.59 and 205,780.52 is: 283,979.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,928.93 : 506,365.59 = 205,780.52 : x
  2. Step 2: Convert to fraction form
    366,928.93/506,365.59 = 205,780.52/x
  3. Step 3: Cross multiply
    366,928.93x = 506,365.59 × 205,780.52
  4. Step 4: Simplify right side
    366,928.93x = 104,200,174,420.31
  5. Step 5: Solve for x
    x = 104,200,174,420.31/366,928.93
  6. Step 6: Final answer
    x = 283,979.17

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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.