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Finding the Fourth Proportional to 462,849.51, 638,780.40 and 266,622.77

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Solution

The fourth proportional to 462,849.51, 638,780.40 and 266,622.77 is: 367,967.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,849.51 : 638,780.40 = 266,622.77 : x
  2. Step 2: Convert to fraction form
    462,849.51/638,780.40 = 266,622.77/x
  3. Step 3: Cross multiply
    462,849.51x = 638,780.40 × 266,622.77
  4. Step 4: Simplify right side
    462,849.51x = 170,313,401,266.66
  5. Step 5: Solve for x
    x = 170,313,401,266.66/462,849.51
  6. Step 6: Final answer
    x = 367,967.12

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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.