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Finding the Fourth Proportional to 438,413.63, 657,639.58 and 138,916.28

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Solution

The fourth proportional to 438,413.63, 657,639.58 and 138,916.28 is: 208,380.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,413.63 : 657,639.58 = 138,916.28 : x
  2. Step 2: Convert to fraction form
    438,413.63/657,639.58 = 138,916.28/x
  3. Step 3: Cross multiply
    438,413.63x = 657,639.58 × 138,916.28
  4. Step 4: Simplify right side
    438,413.63x = 91,356,845,331.17
  5. Step 5: Solve for x
    x = 91,356,845,331.17/438,413.63
  6. Step 6: Final answer
    x = 208,380.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.