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Finding the Fourth Proportional to 697,785.28, 963,069.36 and 411,288.64

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Solution

The fourth proportional to 697,785.28, 963,069.36 and 411,288.64 is: 567,652.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,785.28 : 963,069.36 = 411,288.64 : x
  2. Step 2: Convert to fraction form
    697,785.28/963,069.36 = 411,288.64/x
  3. Step 3: Cross multiply
    697,785.28x = 963,069.36 × 411,288.64
  4. Step 4: Simplify right side
    697,785.28x = 396,099,487,300.07
  5. Step 5: Solve for x
    x = 396,099,487,300.07/697,785.28
  6. Step 6: Final answer
    x = 567,652.40

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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.