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Finding the Fourth Proportional to 307,848.60, 460,898.10 and 276,355.80

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Solution

The fourth proportional to 307,848.60, 460,898.10 and 276,355.80 is: 413,748.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,848.60 : 460,898.10 = 276,355.80 : x
  2. Step 2: Convert to fraction form
    307,848.60/460,898.10 = 276,355.80/x
  3. Step 3: Cross multiply
    307,848.60x = 460,898.10 × 276,355.80
  4. Step 4: Simplify right side
    307,848.60x = 127,371,863,143.98
  5. Step 5: Solve for x
    x = 127,371,863,143.98/307,848.60
  6. Step 6: Final answer
    x = 413,748.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.