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Finding the Fourth Proportional to 357,142.84, 492,879.26 and 236,074.16

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Solution

The fourth proportional to 357,142.84, 492,879.26 and 236,074.16 is: 325,796.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,142.84 : 492,879.26 = 236,074.16 : x
  2. Step 2: Convert to fraction form
    357,142.84/492,879.26 = 236,074.16/x
  3. Step 3: Cross multiply
    357,142.84x = 492,879.26 × 236,074.16
  4. Step 4: Simplify right side
    357,142.84x = 116,356,059,108.31
  5. Step 5: Solve for x
    x = 116,356,059,108.31/357,142.84
  6. Step 6: Final answer
    x = 325,796.98

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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.