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Finding the Fourth Proportional to 412,855, 619,386.58 and 117,367

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Solution

The fourth proportional to 412,855, 619,386.58 and 117,367 is: 176,080.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,855 : 619,386.58 = 117,367 : x
  2. Step 2: Convert to fraction form
    412,855/619,386.58 = 117,367/x
  3. Step 3: Cross multiply
    412,855x = 619,386.58 × 117,367
  4. Step 4: Simplify right side
    412,855x = 72,695,544,734.86
  5. Step 5: Solve for x
    x = 72,695,544,734.86/412,855
  6. Step 6: Final answer
    x = 176,080.09

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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.