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Finding the Fourth Proportional to 337,322, 465,498.12 and 186,415.76

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Solution

The fourth proportional to 337,322, 465,498.12 and 186,415.76 is: 257,250.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,322 : 465,498.12 = 186,415.76 : x
  2. Step 2: Convert to fraction form
    337,322/465,498.12 = 186,415.76/x
  3. Step 3: Cross multiply
    337,322x = 465,498.12 × 186,415.76
  4. Step 4: Simplify right side
    337,322x = 86,776,185,818.37
  5. Step 5: Solve for x
    x = 86,776,185,818.37/337,322
  6. Step 6: Final answer
    x = 257,250.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.