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Finding the Fourth Proportional to 413,158, 619,840.68 and 117,670

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Solution

The fourth proportional to 413,158, 619,840.68 and 117,670 is: 176,534.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,158 : 619,840.68 = 117,670 : x
  2. Step 2: Convert to fraction form
    413,158/619,840.68 = 117,670/x
  3. Step 3: Cross multiply
    413,158x = 619,840.68 × 117,670
  4. Step 4: Simplify right side
    413,158x = 72,936,652,815.60
  5. Step 5: Solve for x
    x = 72,936,652,815.60/413,158
  6. Step 6: Final answer
    x = 176,534.53

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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.