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Finding the Fourth Proportional to 407,712.40, 611,568.60 and 257,137.45

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Solution

The fourth proportional to 407,712.40, 611,568.60 and 257,137.45 is: 385,706.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,712.40 : 611,568.60 = 257,137.45 : x
  2. Step 2: Convert to fraction form
    407,712.40/611,568.60 = 257,137.45/x
  3. Step 3: Cross multiply
    407,712.40x = 611,568.60 × 257,137.45
  4. Step 4: Simplify right side
    407,712.40x = 157,257,190,304.07
  5. Step 5: Solve for x
    x = 157,257,190,304.07/407,712.40
  6. Step 6: Final answer
    x = 385,706.18

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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.