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Finding the Fourth Proportional to 383,732.64, 529,696.40 and 301,848.93

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Solution

The fourth proportional to 383,732.64, 529,696.40 and 301,848.93 is: 416,665.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,732.64 : 529,696.40 = 301,848.93 : x
  2. Step 2: Convert to fraction form
    383,732.64/529,696.40 = 301,848.93/x
  3. Step 3: Cross multiply
    383,732.64x = 529,696.40 × 301,848.93
  4. Step 4: Simplify right side
    383,732.64x = 159,888,290,055.61
  5. Step 5: Solve for x
    x = 159,888,290,055.61/383,732.64
  6. Step 6: Final answer
    x = 416,665.86

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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.