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Finding the Fourth Proportional to 475,914.80, 713,872.20 and 160,338.80

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Solution

The fourth proportional to 475,914.80, 713,872.20 and 160,338.80 is: 240,508.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,914.80 : 713,872.20 = 160,338.80 : x
  2. Step 2: Convert to fraction form
    475,914.80/713,872.20 = 160,338.80/x
  3. Step 3: Cross multiply
    475,914.80x = 713,872.20 × 160,338.80
  4. Step 4: Simplify right side
    475,914.80x = 114,461,411,901.36
  5. Step 5: Solve for x
    x = 114,461,411,901.36/475,914.80
  6. Step 6: Final answer
    x = 240,508.20

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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.