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Finding the Fourth Proportional to 319,732.74, 441,199.71 and 176,483.52

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Solution

The fourth proportional to 319,732.74, 441,199.71 and 176,483.52 is: 243,529.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,732.74 : 441,199.71 = 176,483.52 : x
  2. Step 2: Convert to fraction form
    319,732.74/441,199.71 = 176,483.52/x
  3. Step 3: Cross multiply
    319,732.74x = 441,199.71 × 176,483.52
  4. Step 4: Simplify right side
    319,732.74x = 77,864,477,843.78
  5. Step 5: Solve for x
    x = 77,864,477,843.78/319,732.74
  6. Step 6: Final answer
    x = 243,529.89

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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.