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Finding the Fourth Proportional to 500,215.96, 690,696.06 and 461,961.53

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Solution

The fourth proportional to 500,215.96, 690,696.06 and 461,961.53 is: 637,874.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,215.96 : 690,696.06 = 461,961.53 : x
  2. Step 2: Convert to fraction form
    500,215.96/690,696.06 = 461,961.53/x
  3. Step 3: Cross multiply
    500,215.96x = 690,696.06 × 461,961.53
  4. Step 4: Simplify right side
    500,215.96x = 319,075,008,645.38
  5. Step 5: Solve for x
    x = 319,075,008,645.38/500,215.96
  6. Step 6: Final answer
    x = 637,874.51

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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.