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Finding the Fourth Proportional to 460,645, 635,709.84 and 256,696.20

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Solution

The fourth proportional to 460,645, 635,709.84 and 256,696.20 is: 354,251.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,645 : 635,709.84 = 256,696.20 : x
  2. Step 2: Convert to fraction form
    460,645/635,709.84 = 256,696.20/x
  3. Step 3: Cross multiply
    460,645x = 635,709.84 × 256,696.20
  4. Step 4: Simplify right side
    460,645x = 163,184,300,230.61
  5. Step 5: Solve for x
    x = 163,184,300,230.61/460,645
  6. Step 6: Final answer
    x = 354,251.76

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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.