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Finding the Fourth Proportional to 800,024.65, 1,200,038.14 and 326,710.01

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Solution

The fourth proportional to 800,024.65, 1,200,038.14 and 326,710.01 is: 490,065.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,024.65 : 1,200,038.14 = 326,710.01 : x
  2. Step 2: Convert to fraction form
    800,024.65/1,200,038.14 = 326,710.01/x
  3. Step 3: Cross multiply
    800,024.65x = 1,200,038.14 × 326,710.01
  4. Step 4: Simplify right side
    800,024.65x = 392,064,467,540.31
  5. Step 5: Solve for x
    x = 392,064,467,540.31/800,024.65
  6. Step 6: Final answer
    x = 490,065.49

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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.