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Finding the Fourth Proportional to 319,164.49, 440,447.05 and 175,927.67

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Solution

The fourth proportional to 319,164.49, 440,447.05 and 175,927.67 is: 242,780.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,164.49 : 440,447.05 = 175,927.67 : x
  2. Step 2: Convert to fraction form
    319,164.49/440,447.05 = 175,927.67/x
  3. Step 3: Cross multiply
    319,164.49x = 440,447.05 × 175,927.67
  4. Step 4: Simplify right side
    319,164.49x = 77,486,823,264.87
  5. Step 5: Solve for x
    x = 77,486,823,264.87/319,164.49
  6. Step 6: Final answer
    x = 242,780.21

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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.