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Finding the Fourth Proportional to 470,923.20, 706,384.80 and 446,961.60

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Solution

The fourth proportional to 470,923.20, 706,384.80 and 446,961.60 is: 670,442.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,923.20 : 706,384.80 = 446,961.60 : x
  2. Step 2: Convert to fraction form
    470,923.20/706,384.80 = 446,961.60/x
  3. Step 3: Cross multiply
    470,923.20x = 706,384.80 × 446,961.60
  4. Step 4: Simplify right side
    470,923.20x = 315,726,880,423.68
  5. Step 5: Solve for x
    x = 315,726,880,423.68/470,923.20
  6. Step 6: Final answer
    x = 670,442.40

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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.