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Finding the Fourth Proportional to 655,277.88, 982,916.10 and 206,038.08

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Solution

The fourth proportional to 655,277.88, 982,916.10 and 206,038.08 is: 309,056.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,277.88 : 982,916.10 = 206,038.08 : x
  2. Step 2: Convert to fraction form
    655,277.88/982,916.10 = 206,038.08/x
  3. Step 3: Cross multiply
    655,277.88x = 982,916.10 × 206,038.08
  4. Step 4: Simplify right side
    655,277.88x = 202,518,146,045.09
  5. Step 5: Solve for x
    x = 202,518,146,045.09/655,277.88
  6. Step 6: Final answer
    x = 309,056.89

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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.