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Finding the Fourth Proportional to 489,495.45, 734,463.46 and 264,592.57

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Solution

The fourth proportional to 489,495.45, 734,463.46 and 264,592.57 is: 397,007.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,495.45 : 734,463.46 = 264,592.57 : x
  2. Step 2: Convert to fraction form
    489,495.45/734,463.46 = 264,592.57/x
  3. Step 3: Cross multiply
    489,495.45x = 734,463.46 × 264,592.57
  4. Step 4: Simplify right side
    489,495.45x = 194,333,574,829.36
  5. Step 5: Solve for x
    x = 194,333,574,829.36/489,495.45
  6. Step 6: Final answer
    x = 397,007.93

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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.