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Finding the Fourth Proportional to 298,413.41, 411,809.33 and 162,454.91

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Solution

The fourth proportional to 298,413.41, 411,809.33 and 162,454.91 is: 224,187.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,413.41 : 411,809.33 = 162,454.91 : x
  2. Step 2: Convert to fraction form
    298,413.41/411,809.33 = 162,454.91/x
  3. Step 3: Cross multiply
    298,413.41x = 411,809.33 × 162,454.91
  4. Step 4: Simplify right side
    298,413.41x = 66,900,445,989.40
  5. Step 5: Solve for x
    x = 66,900,445,989.40/298,413.41
  6. Step 6: Final answer
    x = 224,187.13

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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.