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Finding the Fourth Proportional to 320,907.89, 442,851.26 and 175,711.03

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Solution

The fourth proportional to 320,907.89, 442,851.26 and 175,711.03 is: 242,480.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,907.89 : 442,851.26 = 175,711.03 : x
  2. Step 2: Convert to fraction form
    320,907.89/442,851.26 = 175,711.03/x
  3. Step 3: Cross multiply
    320,907.89x = 442,851.26 × 175,711.03
  4. Step 4: Simplify right side
    320,907.89x = 77,813,849,045.71
  5. Step 5: Solve for x
    x = 77,813,849,045.71/320,907.89
  6. Step 6: Final answer
    x = 242,480.33

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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.