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Finding the Fourth Proportional to 317,701.98, 476,412.93 and 149,270.22

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Solution

The fourth proportional to 317,701.98, 476,412.93 and 149,270.22 is: 223,839.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,701.98 : 476,412.93 = 149,270.22 : x
  2. Step 2: Convert to fraction form
    317,701.98/476,412.93 = 149,270.22/x
  3. Step 3: Cross multiply
    317,701.98x = 476,412.93 × 149,270.22
  4. Step 4: Simplify right side
    317,701.98x = 71,114,262,871.94
  5. Step 5: Solve for x
    x = 71,114,262,871.94/317,701.98
  6. Step 6: Final answer
    x = 223,839.53

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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.