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Finding the Fourth Proportional to 697,938.96, 963,164.40 and 411,441.84

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Solution

The fourth proportional to 697,938.96, 963,164.40 and 411,441.84 is: 567,794.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,938.96 : 963,164.40 = 411,441.84 : x
  2. Step 2: Convert to fraction form
    697,938.96/963,164.40 = 411,441.84/x
  3. Step 3: Cross multiply
    697,938.96x = 963,164.40 × 411,441.84
  4. Step 4: Simplify right side
    697,938.96x = 396,286,132,958.50
  5. Step 5: Solve for x
    x = 396,286,132,958.50/697,938.96
  6. Step 6: Final answer
    x = 567,794.83

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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.