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Finding the Fourth Proportional to 612,843.51, 919,271.70 and 186,448.77

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Solution

The fourth proportional to 612,843.51, 919,271.70 and 186,448.77 is: 279,675.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,843.51 : 919,271.70 = 186,448.77 : x
  2. Step 2: Convert to fraction form
    612,843.51/919,271.70 = 186,448.77/x
  3. Step 3: Cross multiply
    612,843.51x = 919,271.70 × 186,448.77
  4. Step 4: Simplify right side
    612,843.51x = 171,397,077,760.81
  5. Step 5: Solve for x
    x = 171,397,077,760.81/612,843.51
  6. Step 6: Final answer
    x = 279,675.11

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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.