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Finding the Fourth Proportional to 370,266.81, 510,973.16 and 206,916.14

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Solution

The fourth proportional to 370,266.81, 510,973.16 and 206,916.14 is: 285,547.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,266.81 : 510,973.16 = 206,916.14 : x
  2. Step 2: Convert to fraction form
    370,266.81/510,973.16 = 206,916.14/x
  3. Step 3: Cross multiply
    370,266.81x = 510,973.16 × 206,916.14
  4. Step 4: Simplify right side
    370,266.81x = 105,728,590,321.36
  5. Step 5: Solve for x
    x = 105,728,590,321.36/370,266.81
  6. Step 6: Final answer
    x = 285,547.04

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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.