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Finding the Fourth Proportional to 382,713.94, 528,218.34 and 253,424.38

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Solution

The fourth proportional to 382,713.94, 528,218.34 and 253,424.38 is: 349,774.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,713.94 : 528,218.34 = 253,424.38 : x
  2. Step 2: Convert to fraction form
    382,713.94/528,218.34 = 253,424.38/x
  3. Step 3: Cross multiply
    382,713.94x = 528,218.34 × 253,424.38
  4. Step 4: Simplify right side
    382,713.94x = 133,863,405,319.13
  5. Step 5: Solve for x
    x = 133,863,405,319.13/382,713.94
  6. Step 6: Final answer
    x = 349,774.05

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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.