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Finding the Fourth Proportional to 500,307.96, 690,420.15 and 270,859.38

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Solution

The fourth proportional to 500,307.96, 690,420.15 and 270,859.38 is: 373,783.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,307.96 : 690,420.15 = 270,859.38 : x
  2. Step 2: Convert to fraction form
    500,307.96/690,420.15 = 270,859.38/x
  3. Step 3: Cross multiply
    500,307.96x = 690,420.15 × 270,859.38
  4. Step 4: Simplify right side
    500,307.96x = 187,006,773,768.51
  5. Step 5: Solve for x
    x = 187,006,773,768.51/500,307.96
  6. Step 6: Final answer
    x = 373,783.33

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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.