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Finding the Fourth Proportional to 462,562.80, 638,444.52 and 301,138.08

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Solution

The fourth proportional to 462,562.80, 638,444.52 and 301,138.08 is: 415,640.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,562.80 : 638,444.52 = 301,138.08 : x
  2. Step 2: Convert to fraction form
    462,562.80/638,444.52 = 301,138.08/x
  3. Step 3: Cross multiply
    462,562.80x = 638,444.52 × 301,138.08
  4. Step 4: Simplify right side
    462,562.80x = 192,259,956,939.32
  5. Step 5: Solve for x
    x = 192,259,956,939.32/462,562.80
  6. Step 6: Final answer
    x = 415,640.77

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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.