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Finding the Fourth Proportional to 380,413.48, 524,969.80 and 219,267.44

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Solution

The fourth proportional to 380,413.48, 524,969.80 and 219,267.44 is: 302,588.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,413.48 : 524,969.80 = 219,267.44 : x
  2. Step 2: Convert to fraction form
    380,413.48/524,969.80 = 219,267.44/x
  3. Step 3: Cross multiply
    380,413.48x = 524,969.80 × 219,267.44
  4. Step 4: Simplify right side
    380,413.48x = 115,108,784,123.31
  5. Step 5: Solve for x
    x = 115,108,784,123.31/380,413.48
  6. Step 6: Final answer
    x = 302,588.60

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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.