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Finding the Fourth Proportional to 421,044.84, 581,045.94 and 230,058.22

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Solution

The fourth proportional to 421,044.84, 581,045.94 and 230,058.22 is: 317,482.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,044.84 : 581,045.94 = 230,058.22 : x
  2. Step 2: Convert to fraction form
    421,044.84/581,045.94 = 230,058.22/x
  3. Step 3: Cross multiply
    421,044.84x = 581,045.94 × 230,058.22
  4. Step 4: Simplify right side
    421,044.84x = 133,674,394,694.63
  5. Step 5: Solve for x
    x = 133,674,394,694.63/421,044.84
  6. Step 6: Final answer
    x = 317,482.56

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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.