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Finding the Fourth Proportional to 462,406.08, 638,033.76 and 292,520.64

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Solution

The fourth proportional to 462,406.08, 638,033.76 and 292,520.64 is: 403,623.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,406.08 : 638,033.76 = 292,520.64 : x
  2. Step 2: Convert to fraction form
    462,406.08/638,033.76 = 292,520.64/x
  3. Step 3: Cross multiply
    462,406.08x = 638,033.76 × 292,520.64
  4. Step 4: Simplify right side
    462,406.08x = 186,638,043,816.81
  5. Step 5: Solve for x
    x = 186,638,043,816.81/462,406.08
  6. Step 6: Final answer
    x = 403,623.68

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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.