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Finding the Fourth Proportional to 644,704, 967,090.56 and 201,506.56

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Solution

The fourth proportional to 644,704, 967,090.56 and 201,506.56 is: 302,270.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,704 : 967,090.56 = 201,506.56 : x
  2. Step 2: Convert to fraction form
    644,704/967,090.56 = 201,506.56/x
  3. Step 3: Cross multiply
    644,704x = 967,090.56 × 201,506.56
  4. Step 4: Simplify right side
    644,704x = 194,875,091,954.07
  5. Step 5: Solve for x
    x = 194,875,091,954.07/644,704
  6. Step 6: Final answer
    x = 302,270.64

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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.