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Finding the Fourth Proportional to 597,467.36, 824,328.08 and 355,556

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Solution

The fourth proportional to 597,467.36, 824,328.08 and 355,556 is: 490,562.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,467.36 : 824,328.08 = 355,556 : x
  2. Step 2: Convert to fraction form
    597,467.36/824,328.08 = 355,556/x
  3. Step 3: Cross multiply
    597,467.36x = 824,328.08 × 355,556
  4. Step 4: Simplify right side
    597,467.36x = 293,094,794,812.48
  5. Step 5: Solve for x
    x = 293,094,794,812.48/597,467.36
  6. Step 6: Final answer
    x = 490,562.02

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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.