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Finding the Fourth Proportional to 465,393.50, 697,860.36 and 273,316.11

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Solution

The fourth proportional to 465,393.50, 697,860.36 and 273,316.11 is: 409,839.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,393.50 : 697,860.36 = 273,316.11 : x
  2. Step 2: Convert to fraction form
    465,393.50/697,860.36 = 273,316.11/x
  3. Step 3: Cross multiply
    465,393.50x = 697,860.36 × 273,316.11
  4. Step 4: Simplify right side
    465,393.50x = 190,736,476,301.42
  5. Step 5: Solve for x
    x = 190,736,476,301.42/465,393.50
  6. Step 6: Final answer
    x = 409,839.15

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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.