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Finding the Fourth Proportional to 412,853, 619,383.58 and 117,365

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Solution

The fourth proportional to 412,853, 619,383.58 and 117,365 is: 176,077.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,853 : 619,383.58 = 117,365 : x
  2. Step 2: Convert to fraction form
    412,853/619,383.58 = 117,365/x
  3. Step 3: Cross multiply
    412,853x = 619,383.58 × 117,365
  4. Step 4: Simplify right side
    412,853x = 72,693,953,866.70
  5. Step 5: Solve for x
    x = 72,693,953,866.70/412,853
  6. Step 6: Final answer
    x = 176,077.09

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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.