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Finding the Fourth Proportional to 407,500.40, 611,423.40 and 257,855.60

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Solution

The fourth proportional to 407,500.40, 611,423.40 and 257,855.60 is: 386,892.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,500.40 : 611,423.40 = 257,855.60 : x
  2. Step 2: Convert to fraction form
    407,500.40/611,423.40 = 257,855.60/x
  3. Step 3: Cross multiply
    407,500.40x = 611,423.40 × 257,855.60
  4. Step 4: Simplify right side
    407,500.40x = 157,658,947,661.04
  5. Step 5: Solve for x
    x = 157,658,947,661.04/407,500.40
  6. Step 6: Final answer
    x = 386,892.74

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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.