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Finding the Fourth Proportional to 462,549.04, 638,424.36 and 301,123

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Solution

The fourth proportional to 462,549.04, 638,424.36 and 301,123 is: 415,619.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,549.04 : 638,424.36 = 301,123 : x
  2. Step 2: Convert to fraction form
    462,549.04/638,424.36 = 301,123/x
  3. Step 3: Cross multiply
    462,549.04x = 638,424.36 × 301,123
  4. Step 4: Simplify right side
    462,549.04x = 192,244,258,556.28
  5. Step 5: Solve for x
    x = 192,244,258,556.28/462,549.04
  6. Step 6: Final answer
    x = 415,619.19

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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.