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Finding the Fourth Proportional to 446,454.37, 616,113.66 and 242,509.27

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Solution

The fourth proportional to 446,454.37, 616,113.66 and 242,509.27 is: 334,666.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,454.37 : 616,113.66 = 242,509.27 : x
  2. Step 2: Convert to fraction form
    446,454.37/616,113.66 = 242,509.27/x
  3. Step 3: Cross multiply
    446,454.37x = 616,113.66 × 242,509.27
  4. Step 4: Simplify right side
    446,454.37x = 149,413,273,923.63
  5. Step 5: Solve for x
    x = 149,413,273,923.63/446,454.37
  6. Step 6: Final answer
    x = 334,666.39

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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.