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Finding the Fourth Proportional to 285,477.20, 428,215.80 and 85,828.40

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Solution

The fourth proportional to 285,477.20, 428,215.80 and 85,828.40 is: 128,742.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,477.20 : 428,215.80 = 85,828.40 : x
  2. Step 2: Convert to fraction form
    285,477.20/428,215.80 = 85,828.40/x
  3. Step 3: Cross multiply
    285,477.20x = 428,215.80 × 85,828.40
  4. Step 4: Simplify right side
    285,477.20x = 36,753,076,968.72
  5. Step 5: Solve for x
    x = 36,753,076,968.72/285,477.20
  6. Step 6: Final answer
    x = 128,742.60

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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.