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Finding the Fourth Proportional to 633,544.49, 874,354.10 and 361,653.23

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Solution

The fourth proportional to 633,544.49, 874,354.10 and 361,653.23 is: 499,117.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,544.49 : 874,354.10 = 361,653.23 : x
  2. Step 2: Convert to fraction form
    633,544.49/874,354.10 = 361,653.23/x
  3. Step 3: Cross multiply
    633,544.49x = 874,354.10 × 361,653.23
  4. Step 4: Simplify right side
    633,544.49x = 316,212,984,806.36
  5. Step 5: Solve for x
    x = 316,212,984,806.36/633,544.49
  6. Step 6: Final answer
    x = 499,117.25

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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.