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Finding the Fourth Proportional to 463,453.70, 694,597.35 and 410,965.70

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Solution

The fourth proportional to 463,453.70, 694,597.35 and 410,965.70 is: 615,931.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,453.70 : 694,597.35 = 410,965.70 : x
  2. Step 2: Convert to fraction form
    463,453.70/694,597.35 = 410,965.70/x
  3. Step 3: Cross multiply
    463,453.70x = 694,597.35 × 410,965.70
  4. Step 4: Simplify right side
    463,453.70x = 285,455,686,160.90
  5. Step 5: Solve for x
    x = 285,455,686,160.90/463,453.70
  6. Step 6: Final answer
    x = 615,931.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.