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Finding the Fourth Proportional to 460,433.88, 635,662.13 and 305,595.16

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Solution

The fourth proportional to 460,433.88, 635,662.13 and 305,595.16 is: 421,896.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,433.88 : 635,662.13 = 305,595.16 : x
  2. Step 2: Convert to fraction form
    460,433.88/635,662.13 = 305,595.16/x
  3. Step 3: Cross multiply
    460,433.88x = 635,662.13 × 305,595.16
  4. Step 4: Simplify right side
    460,433.88x = 194,255,267,206.16
  5. Step 5: Solve for x
    x = 194,255,267,206.16/460,433.88
  6. Step 6: Final answer
    x = 421,896.12

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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.