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Finding the Fourth Proportional to 369,128.69, 509,413.28 and 205,785.16

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Solution

The fourth proportional to 369,128.69, 509,413.28 and 205,785.16 is: 283,992.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,128.69 : 509,413.28 = 205,785.16 : x
  2. Step 2: Convert to fraction form
    369,128.69/509,413.28 = 205,785.16/x
  3. Step 3: Cross multiply
    369,128.69x = 509,413.28 × 205,785.16
  4. Step 4: Simplify right side
    369,128.69x = 104,829,693,219.06
  5. Step 5: Solve for x
    x = 104,829,693,219.06/369,128.69
  6. Step 6: Final answer
    x = 283,992.27

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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.