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Finding the Fourth Proportional to 1,330,651.34, 1,835,719.47 and 814,428.21

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Solution

The fourth proportional to 1,330,651.34, 1,835,719.47 and 814,428.21 is: 1,123,556.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330,651.34 : 1,835,719.47 = 814,428.21 : x
  2. Step 2: Convert to fraction form
    1,330,651.34/1,835,719.47 = 814,428.21/x
  3. Step 3: Cross multiply
    1,330,651.34x = 1,835,719.47 × 814,428.21
  4. Step 4: Simplify right side
    1,330,651.34x = 1,495,061,722,014.25
  5. Step 5: Solve for x
    x = 1,495,061,722,014.25/1,330,651.34
  6. Step 6: Final answer
    x = 1,123,556.32

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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.