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Finding the Fourth Proportional to 319,006.58, 440,228.72 and 175,766.58

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Solution

The fourth proportional to 319,006.58, 440,228.72 and 175,766.58 is: 242,557.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,006.58 : 440,228.72 = 175,766.58 : x
  2. Step 2: Convert to fraction form
    319,006.58/440,228.72 = 175,766.58/x
  3. Step 3: Cross multiply
    319,006.58x = 440,228.72 × 175,766.58
  4. Step 4: Simplify right side
    319,006.58x = 77,377,496,532.18
  5. Step 5: Solve for x
    x = 77,377,496,532.18/319,006.58
  6. Step 6: Final answer
    x = 242,557.68

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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.