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Finding the Fourth Proportional to 329,547.94, 454,758.48 and 186,299.44

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Solution

The fourth proportional to 329,547.94, 454,758.48 and 186,299.44 is: 257,083.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,547.94 : 454,758.48 = 186,299.44 : x
  2. Step 2: Convert to fraction form
    329,547.94/454,758.48 = 186,299.44/x
  3. Step 3: Cross multiply
    329,547.94x = 454,758.48 × 186,299.44
  4. Step 4: Simplify right side
    329,547.94x = 84,721,250,159.25
  5. Step 5: Solve for x
    x = 84,721,250,159.25/329,547.94
  6. Step 6: Final answer
    x = 257,083.23

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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.