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Finding the Fourth Proportional to 405,930.04, 560,459.10 and 253,029.40

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Solution

The fourth proportional to 405,930.04, 560,459.10 and 253,029.40 is: 349,352.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,930.04 : 560,459.10 = 253,029.40 : x
  2. Step 2: Convert to fraction form
    405,930.04/560,459.10 = 253,029.40/x
  3. Step 3: Cross multiply
    405,930.04x = 560,459.10 × 253,029.40
  4. Step 4: Simplify right side
    405,930.04x = 141,812,629,797.54
  5. Step 5: Solve for x
    x = 141,812,629,797.54/405,930.04
  6. Step 6: Final answer
    x = 349,352.39

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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.