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Finding the Fourth Proportional to 1,965,309.76, 2,941,862.64 and 1,064,514.16

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Solution

The fourth proportional to 1,965,309.76, 2,941,862.64 and 1,064,514.16 is: 1,593,466.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965,309.76 : 2,941,862.64 = 1,064,514.16 : x
  2. Step 2: Convert to fraction form
    1,965,309.76/2,941,862.64 = 1,064,514.16/x
  3. Step 3: Cross multiply
    1,965,309.76x = 2,941,862.64 × 1,064,514.16
  4. Step 4: Simplify right side
    1,965,309.76x = 3,131,654,437,054.98
  5. Step 5: Solve for x
    x = 3,131,654,437,054.98/1,965,309.76
  6. Step 6: Final answer
    x = 1,593,466.08

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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.