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Finding the Fourth Proportional to 313,271.52, 469,987.44 and 102,911.28

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Solution

The fourth proportional to 313,271.52, 469,987.44 and 102,911.28 is: 154,393.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,271.52 : 469,987.44 = 102,911.28 : x
  2. Step 2: Convert to fraction form
    313,271.52/469,987.44 = 102,911.28/x
  3. Step 3: Cross multiply
    313,271.52x = 469,987.44 × 102,911.28
  4. Step 4: Simplify right side
    313,271.52x = 48,367,009,034.32
  5. Step 5: Solve for x
    x = 48,367,009,034.32/313,271.52
  6. Step 6: Final answer
    x = 154,393.25

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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.