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Finding the Fourth Proportional to 446,376.16, 616,097.18 and 293,428.48

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Solution

The fourth proportional to 446,376.16, 616,097.18 and 293,428.48 is: 404,995.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,376.16 : 616,097.18 = 293,428.48 : x
  2. Step 2: Convert to fraction form
    446,376.16/616,097.18 = 293,428.48/x
  3. Step 3: Cross multiply
    446,376.16x = 616,097.18 × 293,428.48
  4. Step 4: Simplify right side
    446,376.16x = 180,780,454,512.06
  5. Step 5: Solve for x
    x = 180,780,454,512.06/446,376.16
  6. Step 6: Final answer
    x = 404,995.77

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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.