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Finding the Fourth Proportional to 465,416.83, 642,283.93 and 258,704.62

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Solution

The fourth proportional to 465,416.83, 642,283.93 and 258,704.62 is: 357,017.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,416.83 : 642,283.93 = 258,704.62 : x
  2. Step 2: Convert to fraction form
    465,416.83/642,283.93 = 258,704.62/x
  3. Step 3: Cross multiply
    465,416.83x = 642,283.93 × 258,704.62
  4. Step 4: Simplify right side
    465,416.83x = 166,161,820,042.76
  5. Step 5: Solve for x
    x = 166,161,820,042.76/465,416.83
  6. Step 6: Final answer
    x = 357,017.22

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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.