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Finding the Fourth Proportional to 446,013.72, 616,009.77 and 293,732.64

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Solution

The fourth proportional to 446,013.72, 616,009.77 and 293,732.64 is: 405,687.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,013.72 : 616,009.77 = 293,732.64 : x
  2. Step 2: Convert to fraction form
    446,013.72/616,009.77 = 293,732.64/x
  3. Step 3: Cross multiply
    446,013.72x = 616,009.77 × 293,732.64
  4. Step 4: Simplify right side
    446,013.72x = 180,942,176,007.89
  5. Step 5: Solve for x
    x = 180,942,176,007.89/446,013.72
  6. Step 6: Final answer
    x = 405,687.47

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1.5x scale

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.