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Finding the Fourth Proportional to 383,698.86, 575,055.74 and 183,719.58

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Solution

The fourth proportional to 383,698.86, 575,055.74 and 183,719.58 is: 275,343.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,698.86 : 575,055.74 = 183,719.58 : x
  2. Step 2: Convert to fraction form
    383,698.86/575,055.74 = 183,719.58/x
  3. Step 3: Cross multiply
    383,698.86x = 575,055.74 × 183,719.58
  4. Step 4: Simplify right side
    383,698.86x = 105,648,999,029.39
  5. Step 5: Solve for x
    x = 105,648,999,029.39/383,698.86
  6. Step 6: Final answer
    x = 275,343.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.