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Finding the Fourth Proportional to 469,457.28, 647,846.64 and 254,602.08

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Solution

The fourth proportional to 469,457.28, 647,846.64 and 254,602.08 is: 351,348.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,457.28 : 647,846.64 = 254,602.08 : x
  2. Step 2: Convert to fraction form
    469,457.28/647,846.64 = 254,602.08/x
  3. Step 3: Cross multiply
    469,457.28x = 647,846.64 × 254,602.08
  4. Step 4: Simplify right side
    469,457.28x = 164,943,102,065.01
  5. Step 5: Solve for x
    x = 164,943,102,065.01/469,457.28
  6. Step 6: Final answer
    x = 351,348.48

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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.