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Finding the Fourth Proportional to 469,649.28, 704,496.96 and 189,128.64

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Solution

The fourth proportional to 469,649.28, 704,496.96 and 189,128.64 is: 283,702.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,649.28 : 704,496.96 = 189,128.64 : x
  2. Step 2: Convert to fraction form
    469,649.28/704,496.96 = 189,128.64/x
  3. Step 3: Cross multiply
    469,649.28x = 704,496.96 × 189,128.64
  4. Step 4: Simplify right side
    469,649.28x = 133,240,551,928.93
  5. Step 5: Solve for x
    x = 133,240,551,928.93/469,649.28
  6. Step 6: Final answer
    x = 283,702.24

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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.