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Finding the Fourth Proportional to 413,241.30, 618,695.55 and 401,577.30

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Solution

The fourth proportional to 413,241.30, 618,695.55 and 401,577.30 is: 601,232.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,241.30 : 618,695.55 = 401,577.30 : x
  2. Step 2: Convert to fraction form
    413,241.30/618,695.55 = 401,577.30/x
  3. Step 3: Cross multiply
    413,241.30x = 618,695.55 × 401,577.30
  4. Step 4: Simplify right side
    413,241.30x = 248,454,088,491.02
  5. Step 5: Solve for x
    x = 248,454,088,491.02/413,241.30
  6. Step 6: Final answer
    x = 601,232.47

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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.