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Finding the Fourth Proportional to 462,725.93, 638,594.33 and 258,795.83

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Solution

The fourth proportional to 462,725.93, 638,594.33 and 258,795.83 is: 357,156.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,725.93 : 638,594.33 = 258,795.83 : x
  2. Step 2: Convert to fraction form
    462,725.93/638,594.33 = 258,795.83/x
  3. Step 3: Cross multiply
    462,725.93x = 638,594.33 × 258,795.83
  4. Step 4: Simplify right side
    462,725.93x = 165,265,545,178.69
  5. Step 5: Solve for x
    x = 165,265,545,178.69/462,725.93
  6. Step 6: Final answer
    x = 357,156.44

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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.