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Finding the Fourth Proportional to 476,461.82, 657,825.02 and 295,367.28

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Solution

The fourth proportional to 476,461.82, 657,825.02 and 295,367.28 is: 407,797.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,461.82 : 657,825.02 = 295,367.28 : x
  2. Step 2: Convert to fraction form
    476,461.82/657,825.02 = 295,367.28/x
  3. Step 3: Cross multiply
    476,461.82x = 657,825.02 × 295,367.28
  4. Step 4: Simplify right side
    476,461.82x = 194,299,986,873.35
  5. Step 5: Solve for x
    x = 194,299,986,873.35/476,461.82
  6. Step 6: Final answer
    x = 407,797.60

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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.