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Finding the Fourth Proportional to 462,725.56, 638,557.68 and 258,776.80

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Solution

The fourth proportional to 462,725.56, 638,557.68 and 258,776.80 is: 357,109.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,725.56 : 638,557.68 = 258,776.80 : x
  2. Step 2: Convert to fraction form
    462,725.56/638,557.68 = 258,776.80/x
  3. Step 3: Cross multiply
    462,725.56x = 638,557.68 × 258,776.80
  4. Step 4: Simplify right side
    462,725.56x = 165,243,913,045.82
  5. Step 5: Solve for x
    x = 165,243,913,045.82/462,725.56
  6. Step 6: Final answer
    x = 357,109.97

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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.