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Finding the Fourth Proportional to 460,814.36, 635,926.72 and 256,878.24

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Solution

The fourth proportional to 460,814.36, 635,926.72 and 256,878.24 is: 354,493.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,814.36 : 635,926.72 = 256,878.24 : x
  2. Step 2: Convert to fraction form
    460,814.36/635,926.72 = 256,878.24/x
  3. Step 3: Cross multiply
    460,814.36x = 635,926.72 × 256,878.24
  4. Step 4: Simplify right side
    460,814.36x = 163,355,736,602.57
  5. Step 5: Solve for x
    x = 163,355,736,602.57/460,814.36
  6. Step 6: Final answer
    x = 354,493.59

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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.