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Finding the Fourth Proportional to 697,652.56, 962,644.72 and 411,133.76

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Solution

The fourth proportional to 697,652.56, 962,644.72 and 411,133.76 is: 567,296.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,652.56 : 962,644.72 = 411,133.76 : x
  2. Step 2: Convert to fraction form
    697,652.56/962,644.72 = 411,133.76/x
  3. Step 3: Cross multiply
    697,652.56x = 962,644.72 × 411,133.76
  4. Step 4: Simplify right side
    697,652.56x = 395,775,743,277.75
  5. Step 5: Solve for x
    x = 395,775,743,277.75/697,652.56
  6. Step 6: Final answer
    x = 567,296.34

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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.