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Finding the Fourth Proportional to 460,219, 689,331.34 and 223,065.56

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Solution

The fourth proportional to 460,219, 689,331.34 and 223,065.56 is: 334,115.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,219 : 689,331.34 = 223,065.56 : x
  2. Step 2: Convert to fraction form
    460,219/689,331.34 = 223,065.56/x
  3. Step 3: Cross multiply
    460,219x = 689,331.34 × 223,065.56
  4. Step 4: Simplify right side
    460,219x = 153,766,081,382.65
  5. Step 5: Solve for x
    x = 153,766,081,382.65/460,219
  6. Step 6: Final answer
    x = 334,115.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.