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Finding the Fourth Proportional to 3,294,409.73, 4,943,714.11 and 1,401,148.13

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Solution

The fourth proportional to 3,294,409.73, 4,943,714.11 and 1,401,148.13 is: 2,102,615.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294,409.73 : 4,943,714.11 = 1,401,148.13 : x
  2. Step 2: Convert to fraction form
    3,294,409.73/4,943,714.11 = 1,401,148.13/x
  3. Step 3: Cross multiply
    3,294,409.73x = 4,943,714.11 × 1,401,148.13
  4. Step 4: Simplify right side
    3,294,409.73x = 6,926,875,752,259.67
  5. Step 5: Solve for x
    x = 6,926,875,752,259.67/3,294,409.73
  6. Step 6: Final answer
    x = 2,102,615.14

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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.