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Finding the Fourth Proportional to 713,524.98, 984,626.64 and 407,541.27

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Solution

The fourth proportional to 713,524.98, 984,626.64 and 407,541.27 is: 562,385.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,524.98 : 984,626.64 = 407,541.27 : x
  2. Step 2: Convert to fraction form
    713,524.98/984,626.64 = 407,541.27/x
  3. Step 3: Cross multiply
    713,524.98x = 984,626.64 × 407,541.27
  4. Step 4: Simplify right side
    713,524.98x = 401,275,991,341.43
  5. Step 5: Solve for x
    x = 401,275,991,341.43/713,524.98
  6. Step 6: Final answer
    x = 562,385.34

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1.5x scale

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.