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Finding the Fourth Proportional to 319,708.63, 441,166.44 and 176,459.38

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Solution

The fourth proportional to 319,708.63, 441,166.44 and 176,459.38 is: 243,496.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,708.63 : 441,166.44 = 176,459.38 : x
  2. Step 2: Convert to fraction form
    319,708.63/441,166.44 = 176,459.38/x
  3. Step 3: Cross multiply
    319,708.63x = 441,166.44 × 176,459.38
  4. Step 4: Simplify right side
    319,708.63x = 77,847,956,479.21
  5. Step 5: Solve for x
    x = 77,847,956,479.21/319,708.63
  6. Step 6: Final answer
    x = 243,496.58

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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.