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Finding the Fourth Proportional to 419,616.81, 628,678.98 and 241,756.38

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Solution

The fourth proportional to 419,616.81, 628,678.98 and 241,756.38 is: 362,204.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,616.81 : 628,678.98 = 241,756.38 : x
  2. Step 2: Convert to fraction form
    419,616.81/628,678.98 = 241,756.38/x
  3. Step 3: Cross multiply
    419,616.81x = 628,678.98 × 241,756.38
  4. Step 4: Simplify right side
    419,616.81x = 151,987,154,386.89
  5. Step 5: Solve for x
    x = 151,987,154,386.89/419,616.81
  6. Step 6: Final answer
    x = 362,204.64

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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.