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Finding the Fourth Proportional to 713,328.48, 984,463.73 and 407,450.61

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Solution

The fourth proportional to 713,328.48, 984,463.73 and 407,450.61 is: 562,322.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,328.48 : 984,463.73 = 407,450.61 : x
  2. Step 2: Convert to fraction form
    713,328.48/984,463.73 = 407,450.61/x
  3. Step 3: Cross multiply
    713,328.48x = 984,463.73 × 407,450.61
  4. Step 4: Simplify right side
    713,328.48x = 401,120,347,311.38
  5. Step 5: Solve for x
    x = 401,120,347,311.38/713,328.48
  6. Step 6: Final answer
    x = 562,322.07

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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.