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Finding the Fourth Proportional to 407,999.60, 611,999.40 and 171,609.20

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Solution

The fourth proportional to 407,999.60, 611,999.40 and 171,609.20 is: 257,413.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,999.60 : 611,999.40 = 171,609.20 : x
  2. Step 2: Convert to fraction form
    407,999.60/611,999.40 = 171,609.20/x
  3. Step 3: Cross multiply
    407,999.60x = 611,999.40 × 171,609.20
  4. Step 4: Simplify right side
    407,999.60x = 105,024,727,434.48
  5. Step 5: Solve for x
    x = 105,024,727,434.48/407,999.60
  6. Step 6: Final answer
    x = 257,413.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.