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Finding the Fourth Proportional to 702,326.94, 969,189.03 and 415,849.38

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Solution

The fourth proportional to 702,326.94, 969,189.03 and 415,849.38 is: 573,859.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,326.94 : 969,189.03 = 415,849.38 : x
  2. Step 2: Convert to fraction form
    702,326.94/969,189.03 = 415,849.38/x
  3. Step 3: Cross multiply
    702,326.94x = 969,189.03 × 415,849.38
  4. Step 4: Simplify right side
    702,326.94x = 403,036,657,228.30
  5. Step 5: Solve for x
    x = 403,036,657,228.30/702,326.94
  6. Step 6: Final answer
    x = 573,859.03

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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.