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Finding the Fourth Proportional to 320,042.14, 441,670.79 and 184,075.88

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Solution

The fourth proportional to 320,042.14, 441,670.79 and 184,075.88 is: 254,031.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,042.14 : 441,670.79 = 184,075.88 : x
  2. Step 2: Convert to fraction form
    320,042.14/441,670.79 = 184,075.88/x
  3. Step 3: Cross multiply
    320,042.14x = 441,670.79 × 184,075.88
  4. Step 4: Simplify right side
    320,042.14x = 81,300,937,591.38
  5. Step 5: Solve for x
    x = 81,300,937,591.38/320,042.14
  6. Step 6: Final answer
    x = 254,031.98

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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.