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Finding the Fourth Proportional to 713,328.98, 984,464.42 and 407,451.11

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Solution

The fourth proportional to 713,328.98, 984,464.42 and 407,451.11 is: 562,322.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,328.98 : 984,464.42 = 407,451.11 : x
  2. Step 2: Convert to fraction form
    713,328.98/984,464.42 = 407,451.11/x
  3. Step 3: Cross multiply
    713,328.98x = 984,464.42 × 407,451.11
  4. Step 4: Simplify right side
    713,328.98x = 401,121,113,724.93
  5. Step 5: Solve for x
    x = 401,121,113,724.93/713,328.98
  6. Step 6: Final answer
    x = 562,322.75

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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.