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Finding the Fourth Proportional to 284,807.60, 427,211.40 and 238,151.60

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Solution

The fourth proportional to 284,807.60, 427,211.40 and 238,151.60 is: 357,227.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,807.60 : 427,211.40 = 238,151.60 : x
  2. Step 2: Convert to fraction form
    284,807.60/427,211.40 = 238,151.60/x
  3. Step 3: Cross multiply
    284,807.60x = 427,211.40 × 238,151.60
  4. Step 4: Simplify right side
    284,807.60x = 101,741,078,448.24
  5. Step 5: Solve for x
    x = 101,741,078,448.24/284,807.60
  6. Step 6: Final answer
    x = 357,227.40

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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.