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Finding the Fourth Proportional to 460,690.56, 691,091.22 and 435,496.32

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Solution

The fourth proportional to 460,690.56, 691,091.22 and 435,496.32 is: 653,296.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,690.56 : 691,091.22 = 435,496.32 : x
  2. Step 2: Convert to fraction form
    460,690.56/691,091.22 = 435,496.32/x
  3. Step 3: Cross multiply
    460,690.56x = 691,091.22 × 435,496.32
  4. Step 4: Simplify right side
    460,690.56x = 300,967,683,094.31
  5. Step 5: Solve for x
    x = 300,967,683,094.31/460,690.56
  6. Step 6: Final answer
    x = 653,296.83

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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.