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Finding the Fourth Proportional to 462,276.48, 637,945.92 and 258,343.68

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Solution

The fourth proportional to 462,276.48, 637,945.92 and 258,343.68 is: 356,516.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,276.48 : 637,945.92 = 258,343.68 : x
  2. Step 2: Convert to fraction form
    462,276.48/637,945.92 = 258,343.68/x
  3. Step 3: Cross multiply
    462,276.48x = 637,945.92 × 258,343.68
  4. Step 4: Simplify right side
    462,276.48x = 164,809,296,613.79
  5. Step 5: Solve for x
    x = 164,809,296,613.79/462,276.48
  6. Step 6: Final answer
    x = 356,516.72

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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.