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Finding the Fourth Proportional to 416,842.96, 575,374.08 and 265,939.84

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Solution

The fourth proportional to 416,842.96, 575,374.08 and 265,939.84 is: 367,080.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,842.96 : 575,374.08 = 265,939.84 : x
  2. Step 2: Convert to fraction form
    416,842.96/575,374.08 = 265,939.84/x
  3. Step 3: Cross multiply
    416,842.96x = 575,374.08 × 265,939.84
  4. Step 4: Simplify right side
    416,842.96x = 153,014,890,775.35
  5. Step 5: Solve for x
    x = 153,014,890,775.35/416,842.96
  6. Step 6: Final answer
    x = 367,080.42

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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.