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Finding the Fourth Proportional to 462,462.72, 638,185.08 and 258,514.08

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Solution

The fourth proportional to 462,462.72, 638,185.08 and 258,514.08 is: 356,741.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,462.72 : 638,185.08 = 258,514.08 : x
  2. Step 2: Convert to fraction form
    462,462.72/638,185.08 = 258,514.08/x
  3. Step 3: Cross multiply
    462,462.72x = 638,185.08 × 258,514.08
  4. Step 4: Simplify right side
    462,462.72x = 164,979,828,825.93
  5. Step 5: Solve for x
    x = 164,979,828,825.93/462,462.72
  6. Step 6: Final answer
    x = 356,741.90

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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.