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Finding the Fourth Proportional to 398,541.20, 597,811.80 and 256,823.60

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Solution

The fourth proportional to 398,541.20, 597,811.80 and 256,823.60 is: 385,235.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,541.20 : 597,811.80 = 256,823.60 : x
  2. Step 2: Convert to fraction form
    398,541.20/597,811.80 = 256,823.60/x
  3. Step 3: Cross multiply
    398,541.20x = 597,811.80 × 256,823.60
  4. Step 4: Simplify right side
    398,541.20x = 153,532,178,598.48
  5. Step 5: Solve for x
    x = 153,532,178,598.48/398,541.20
  6. Step 6: Final answer
    x = 385,235.40

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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.