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Finding the Fourth Proportional to 460,763.58, 635,776.64 and 256,769.76

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Solution

The fourth proportional to 460,763.58, 635,776.64 and 256,769.76 is: 354,299.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,763.58 : 635,776.64 = 256,769.76 : x
  2. Step 2: Convert to fraction form
    460,763.58/635,776.64 = 256,769.76/x
  3. Step 3: Cross multiply
    460,763.58x = 635,776.64 × 256,769.76
  4. Step 4: Simplify right side
    460,763.58x = 163,248,215,266.41
  5. Step 5: Solve for x
    x = 163,248,215,266.41/460,763.58
  6. Step 6: Final answer
    x = 354,299.30

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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.