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Finding the Fourth Proportional to 298,413.19, 411,810.19 and 162,448.12

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Solution

The fourth proportional to 298,413.19, 411,810.19 and 162,448.12 is: 224,178.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,413.19 : 411,810.19 = 162,448.12 : x
  2. Step 2: Convert to fraction form
    298,413.19/411,810.19 = 162,448.12/x
  3. Step 3: Cross multiply
    298,413.19x = 411,810.19 × 162,448.12
  4. Step 4: Simplify right side
    298,413.19x = 66,897,789,726.70
  5. Step 5: Solve for x
    x = 66,897,789,726.70/298,413.19
  6. Step 6: Final answer
    x = 224,178.40

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1.5x scale

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.