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Finding the Fourth Proportional to 412,992.99, 619,488 and 232,996.77

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Solution

The fourth proportional to 412,992.99, 619,488 and 232,996.77 is: 349,494.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,992.99 : 619,488 = 232,996.77 : x
  2. Step 2: Convert to fraction form
    412,992.99/619,488 = 232,996.77/x
  3. Step 3: Cross multiply
    412,992.99x = 619,488 × 232,996.77
  4. Step 4: Simplify right side
    412,992.99x = 144,338,703,053.76
  5. Step 5: Solve for x
    x = 144,338,703,053.76/412,992.99
  6. Step 6: Final answer
    x = 349,494.32

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1.5x scale

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.