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Finding the Fourth Proportional to 475,872.70, 713,858.27 and 160,354.21

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Solution

The fourth proportional to 475,872.70, 713,858.27 and 160,354.21 is: 240,547.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,872.70 : 713,858.27 = 160,354.21 : x
  2. Step 2: Convert to fraction form
    475,872.70/713,858.27 = 160,354.21/x
  3. Step 3: Cross multiply
    475,872.70x = 713,858.27 × 160,354.21
  4. Step 4: Simplify right side
    475,872.70x = 114,470,176,351.40
  5. Step 5: Solve for x
    x = 114,470,176,351.40/475,872.70
  6. Step 6: Final answer
    x = 240,547.90

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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.