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Finding the Fourth Proportional to 594,989, 821,002.19 and 349,984.86

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Solution

The fourth proportional to 594,989, 821,002.19 and 349,984.86 is: 482,930.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,989 : 821,002.19 = 349,984.86 : x
  2. Step 2: Convert to fraction form
    594,989/821,002.19 = 349,984.86/x
  3. Step 3: Cross multiply
    594,989x = 821,002.19 × 349,984.86
  4. Step 4: Simplify right side
    594,989x = 287,338,336,526.84
  5. Step 5: Solve for x
    x = 287,338,336,526.84/594,989
  6. Step 6: Final answer
    x = 482,930.50

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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.