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Finding the Fourth Proportional to 399,806.96, 599,876.22 and 175,051.40

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Solution

The fourth proportional to 399,806.96, 599,876.22 and 175,051.40 is: 262,649.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,806.96 : 599,876.22 = 175,051.40 : x
  2. Step 2: Convert to fraction form
    399,806.96/599,876.22 = 175,051.40/x
  3. Step 3: Cross multiply
    399,806.96x = 599,876.22 × 175,051.40
  4. Step 4: Simplify right side
    399,806.96x = 105,009,172,137.71
  5. Step 5: Solve for x
    x = 105,009,172,137.71/399,806.96
  6. Step 6: Final answer
    x = 262,649.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.