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Finding the Fourth Proportional to 401,359.36, 601,916.16 and 277,496.32

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Solution

The fourth proportional to 401,359.36, 601,916.16 and 277,496.32 is: 416,159.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,359.36 : 601,916.16 = 277,496.32 : x
  2. Step 2: Convert to fraction form
    401,359.36/601,916.16 = 277,496.32/x
  3. Step 3: Cross multiply
    401,359.36x = 601,916.16 × 277,496.32
  4. Step 4: Simplify right side
    401,359.36x = 167,029,519,348.53
  5. Step 5: Solve for x
    x = 167,029,519,348.53/401,359.36
  6. Step 6: Final answer
    x = 416,159.52

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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.