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Finding the Fourth Proportional to 713,657.81, 984,757.02 and 407,754

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Solution

The fourth proportional to 713,657.81, 984,757.02 and 407,754 is: 562,648.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,657.81 : 984,757.02 = 407,754 : x
  2. Step 2: Convert to fraction form
    713,657.81/984,757.02 = 407,754/x
  3. Step 3: Cross multiply
    713,657.81x = 984,757.02 × 407,754
  4. Step 4: Simplify right side
    713,657.81x = 401,538,613,933.08
  5. Step 5: Solve for x
    x = 401,538,613,933.08/713,657.81
  6. Step 6: Final answer
    x = 562,648.67

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Why These Related Problems?

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