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Finding the Fourth Proportional to 469,006.30, 702,991.05 and 258,795.10

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Solution

The fourth proportional to 469,006.30, 702,991.05 and 258,795.10 is: 387,906.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,006.30 : 702,991.05 = 258,795.10 : x
  2. Step 2: Convert to fraction form
    469,006.30/702,991.05 = 258,795.10/x
  3. Step 3: Cross multiply
    469,006.30x = 702,991.05 × 258,795.10
  4. Step 4: Simplify right side
    469,006.30x = 181,930,639,083.86
  5. Step 5: Solve for x
    x = 181,930,639,083.86/469,006.30
  6. Step 6: Final answer
    x = 387,906.60

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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.