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Finding the Fourth Proportional to 713,607.60, 984,824.04 and 471,465.42

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Solution

The fourth proportional to 713,607.60, 984,824.04 and 471,465.42 is: 650,652.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,607.60 : 984,824.04 = 471,465.42 : x
  2. Step 2: Convert to fraction form
    713,607.60/984,824.04 = 471,465.42/x
  3. Step 3: Cross multiply
    713,607.60x = 984,824.04 × 471,465.42
  4. Step 4: Simplify right side
    713,607.60x = 464,310,479,644.70
  5. Step 5: Solve for x
    x = 464,310,479,644.70/713,607.60
  6. Step 6: Final answer
    x = 650,652.37

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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.