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Finding the Fourth Proportional to 405,130.86, 557,467.06 and 392,804.38

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Solution

The fourth proportional to 405,130.86, 557,467.06 and 392,804.38 is: 540,505.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,130.86 : 557,467.06 = 392,804.38 : x
  2. Step 2: Convert to fraction form
    405,130.86/557,467.06 = 392,804.38/x
  3. Step 3: Cross multiply
    405,130.86x = 557,467.06 × 392,804.38
  4. Step 4: Simplify right side
    405,130.86x = 218,975,502,873.72
  5. Step 5: Solve for x
    x = 218,975,502,873.72/405,130.86
  6. Step 6: Final answer
    x = 540,505.61

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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.