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Finding the Fourth Proportional to 713,583.60, 984,790.89 and 471,441.39

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Solution

The fourth proportional to 713,583.60, 984,790.89 and 471,441.39 is: 650,619.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,583.60 : 984,790.89 = 471,441.39 : x
  2. Step 2: Convert to fraction form
    713,583.60/984,790.89 = 471,441.39/x
  3. Step 3: Cross multiply
    713,583.60x = 984,790.89 × 471,441.39
  4. Step 4: Simplify right side
    713,583.60x = 464,271,186,040.94
  5. Step 5: Solve for x
    x = 464,271,186,040.94/713,583.60
  6. Step 6: Final answer
    x = 650,619.19

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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.