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Finding the Fourth Proportional to 418,893.60, 578,075.70 and 227,908.38

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Solution

The fourth proportional to 418,893.60, 578,075.70 and 227,908.38 is: 314,514.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,893.60 : 578,075.70 = 227,908.38 : x
  2. Step 2: Convert to fraction form
    418,893.60/578,075.70 = 227,908.38/x
  3. Step 3: Cross multiply
    418,893.60x = 578,075.70 × 227,908.38
  4. Step 4: Simplify right side
    418,893.60x = 131,748,296,304.37
  5. Step 5: Solve for x
    x = 131,748,296,304.37/418,893.60
  6. Step 6: Final answer
    x = 314,514.94

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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.