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Finding the Fourth Proportional to 313,323.60, 469,265.40 and 257,336.40

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Solution

The fourth proportional to 313,323.60, 469,265.40 and 257,336.40 is: 385,413.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,323.60 : 469,265.40 = 257,336.40 : x
  2. Step 2: Convert to fraction form
    313,323.60/469,265.40 = 257,336.40/x
  3. Step 3: Cross multiply
    313,323.60x = 469,265.40 × 257,336.40
  4. Step 4: Simplify right side
    313,323.60x = 120,759,068,680.56
  5. Step 5: Solve for x
    x = 120,759,068,680.56/313,323.60
  6. Step 6: Final answer
    x = 385,413.26

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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.