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Finding the Fourth Proportional to 460,770.46, 635,836.71 and 256,814.62

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Solution

The fourth proportional to 460,770.46, 635,836.71 and 256,814.62 is: 354,389.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,770.46 : 635,836.71 = 256,814.62 : x
  2. Step 2: Convert to fraction form
    460,770.46/635,836.71 = 256,814.62/x
  3. Step 3: Cross multiply
    460,770.46x = 635,836.71 × 256,814.62
  4. Step 4: Simplify right side
    460,770.46x = 163,292,163,060.70
  5. Step 5: Solve for x
    x = 163,292,163,060.70/460,770.46
  6. Step 6: Final answer
    x = 354,389.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.