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Finding the Fourth Proportional to 434,046.70, 650,851.35 and 256,608.10

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Solution

The fourth proportional to 434,046.70, 650,851.35 and 256,608.10 is: 384,782.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,046.70 : 650,851.35 = 256,608.10 : x
  2. Step 2: Convert to fraction form
    434,046.70/650,851.35 = 256,608.10/x
  3. Step 3: Cross multiply
    434,046.70x = 650,851.35 × 256,608.10
  4. Step 4: Simplify right side
    434,046.70x = 167,013,728,305.94
  5. Step 5: Solve for x
    x = 167,013,728,305.94/434,046.70
  6. Step 6: Final answer
    x = 384,782.85

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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.