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Finding the Fourth Proportional to 319,093.95, 440,352.66 and 175,859.22

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Solution

The fourth proportional to 319,093.95, 440,352.66 and 175,859.22 is: 242,687.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,093.95 : 440,352.66 = 175,859.22 : x
  2. Step 2: Convert to fraction form
    319,093.95/440,352.66 = 175,859.22/x
  3. Step 3: Cross multiply
    319,093.95x = 440,352.66 × 175,859.22
  4. Step 4: Simplify right side
    319,093.95x = 77,440,075,312.53
  5. Step 5: Solve for x
    x = 77,440,075,312.53/319,093.95
  6. Step 6: Final answer
    x = 242,687.38

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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.