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Finding the Fourth Proportional to 550,413.04, 759,600.68 and 414,202

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Solution

The fourth proportional to 550,413.04, 759,600.68 and 414,202 is: 571,621.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,413.04 : 759,600.68 = 414,202 : x
  2. Step 2: Convert to fraction form
    550,413.04/759,600.68 = 414,202/x
  3. Step 3: Cross multiply
    550,413.04x = 759,600.68 × 414,202
  4. Step 4: Simplify right side
    550,413.04x = 314,628,120,857.36
  5. Step 5: Solve for x
    x = 314,628,120,857.36/550,413.04
  6. Step 6: Final answer
    x = 571,621.85

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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.