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Finding the Fourth Proportional to 456,476.70, 683,159.85 and 456,476.70

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Solution

The fourth proportional to 456,476.70, 683,159.85 and 456,476.70 is: 683,159.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,476.70 : 683,159.85 = 456,476.70 : x
  2. Step 2: Convert to fraction form
    456,476.70/683,159.85 = 456,476.70/x
  3. Step 3: Cross multiply
    456,476.70x = 683,159.85 × 456,476.70
  4. Step 4: Simplify right side
    456,476.70x = 311,846,553,900.50
  5. Step 5: Solve for x
    x = 311,846,553,900.50/456,476.70
  6. Step 6: Final answer
    x = 683,159.85

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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.