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Finding the Fourth Proportional to 497,433.44, 686,438.16 and 271,074.08

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Solution

The fourth proportional to 497,433.44, 686,438.16 and 271,074.08 is: 374,071.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,433.44 : 686,438.16 = 271,074.08 : x
  2. Step 2: Convert to fraction form
    497,433.44/686,438.16 = 271,074.08/x
  3. Step 3: Cross multiply
    497,433.44x = 686,438.16 × 271,074.08
  4. Step 4: Simplify right side
    497,433.44x = 186,075,592,698.89
  5. Step 5: Solve for x
    x = 186,075,592,698.89/497,433.44
  6. Step 6: Final answer
    x = 374,071.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.