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Finding the Fourth Proportional to 285,323.94, 427,984.88 and 85,643.46

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Solution

The fourth proportional to 285,323.94, 427,984.88 and 85,643.46 is: 128,464.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,323.94 : 427,984.88 = 85,643.46 : x
  2. Step 2: Convert to fraction form
    285,323.94/427,984.88 = 85,643.46/x
  3. Step 3: Cross multiply
    285,323.94x = 427,984.88 × 85,643.46
  4. Step 4: Simplify right side
    285,323.94x = 36,654,105,950.88
  5. Step 5: Solve for x
    x = 36,654,105,950.88/285,323.94
  6. Step 6: Final answer
    x = 128,464.88

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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.