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Finding the Fourth Proportional to 319,093.65, 440,349.24 and 175,853.69

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Solution

The fourth proportional to 319,093.65, 440,349.24 and 175,853.69 is: 242,678.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,093.65 : 440,349.24 = 175,853.69 : x
  2. Step 2: Convert to fraction form
    319,093.65/440,349.24 = 175,853.69/x
  3. Step 3: Cross multiply
    319,093.65x = 440,349.24 × 175,853.69
  4. Step 4: Simplify right side
    319,093.65x = 77,437,038,742.70
  5. Step 5: Solve for x
    x = 77,437,038,742.70/319,093.65
  6. Step 6: Final answer
    x = 242,678.09

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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.