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Finding the Fourth Proportional to 296,903.12, 409,413.84 and 224,476.16

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Solution

The fourth proportional to 296,903.12, 409,413.84 and 224,476.16 is: 309,540.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,903.12 : 409,413.84 = 224,476.16 : x
  2. Step 2: Convert to fraction form
    296,903.12/409,413.84 = 224,476.16/x
  3. Step 3: Cross multiply
    296,903.12x = 409,413.84 × 224,476.16
  4. Step 4: Simplify right side
    296,903.12x = 91,903,646,654.05
  5. Step 5: Solve for x
    x = 91,903,646,654.05/296,903.12
  6. Step 6: Final answer
    x = 309,540.86

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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.