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Finding the Fourth Proportional to 319,043.74, 440,289.77 and 175,813.01

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Solution

The fourth proportional to 319,043.74, 440,289.77 and 175,813.01 is: 242,627.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,043.74 : 440,289.77 = 175,813.01 : x
  2. Step 2: Convert to fraction form
    319,043.74/440,289.77 = 175,813.01/x
  3. Step 3: Cross multiply
    319,043.74x = 440,289.77 × 175,813.01
  4. Step 4: Simplify right side
    319,043.74x = 77,408,669,735.91
  5. Step 5: Solve for x
    x = 77,408,669,735.91/319,043.74
  6. Step 6: Final answer
    x = 242,627.14

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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.