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Finding the Fourth Proportional to 460,742.40, 635,812.80 and 256,794.24

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Solution

The fourth proportional to 460,742.40, 635,812.80 and 256,794.24 is: 354,369.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,742.40 : 635,812.80 = 256,794.24 : x
  2. Step 2: Convert to fraction form
    460,742.40/635,812.80 = 256,794.24/x
  3. Step 3: Cross multiply
    460,742.40x = 635,812.80 × 256,794.24
  4. Step 4: Simplify right side
    460,742.40x = 163,273,064,758.27
  5. Step 5: Solve for x
    x = 163,273,064,758.27/460,742.40
  6. Step 6: Final answer
    x = 354,369.52

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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.