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Finding the Fourth Proportional to 469,860.48, 704,784.42 and 114,877.56

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Solution

The fourth proportional to 469,860.48, 704,784.42 and 114,877.56 is: 172,314.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,860.48 : 704,784.42 = 114,877.56 : x
  2. Step 2: Convert to fraction form
    469,860.48/704,784.42 = 114,877.56/x
  3. Step 3: Cross multiply
    469,860.48x = 704,784.42 × 114,877.56
  4. Step 4: Simplify right side
    469,860.48x = 80,963,914,495.62
  5. Step 5: Solve for x
    x = 80,963,914,495.62/469,860.48
  6. Step 6: Final answer
    x = 172,314.80

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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.