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Finding the Fourth Proportional to 462,722.93, 638,590.18 and 258,792.82

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Solution

The fourth proportional to 462,722.93, 638,590.18 and 258,792.82 is: 357,152.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,722.93 : 638,590.18 = 258,792.82 : x
  2. Step 2: Convert to fraction form
    462,722.93/638,590.18 = 258,792.82/x
  3. Step 3: Cross multiply
    462,722.93x = 638,590.18 × 258,792.82
  4. Step 4: Simplify right side
    462,722.93x = 165,262,555,340.36
  5. Step 5: Solve for x
    x = 165,262,555,340.36/462,722.93
  6. Step 6: Final answer
    x = 357,152.29

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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.