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Finding the Fourth Proportional to 460,808.32, 635,928.96 and 269,803.84

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Solution

The fourth proportional to 460,808.32, 635,928.96 and 269,803.84 is: 372,337.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,808.32 : 635,928.96 = 269,803.84 : x
  2. Step 2: Convert to fraction form
    460,808.32/635,928.96 = 269,803.84/x
  3. Step 3: Cross multiply
    460,808.32x = 635,928.96 × 269,803.84
  4. Step 4: Simplify right side
    460,808.32x = 171,576,075,375.21
  5. Step 5: Solve for x
    x = 171,576,075,375.21/460,808.32
  6. Step 6: Final answer
    x = 372,337.19

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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.