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Finding the Fourth Proportional to 284,154.48, 426,202.56 and 178,653.60

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Solution

The fourth proportional to 284,154.48, 426,202.56 and 178,653.60 is: 267,962.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,154.48 : 426,202.56 = 178,653.60 : x
  2. Step 2: Convert to fraction form
    284,154.48/426,202.56 = 178,653.60/x
  3. Step 3: Cross multiply
    284,154.48x = 426,202.56 × 178,653.60
  4. Step 4: Simplify right side
    284,154.48x = 76,142,621,673.22
  5. Step 5: Solve for x
    x = 76,142,621,673.22/284,154.48
  6. Step 6: Final answer
    x = 267,962.07

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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.