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Finding the Fourth Proportional to 453,176.70, 678,015.45 and 295,712.70

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Solution

The fourth proportional to 453,176.70, 678,015.45 and 295,712.70 is: 442,427.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,176.70 : 678,015.45 = 295,712.70 : x
  2. Step 2: Convert to fraction form
    453,176.70/678,015.45 = 295,712.70/x
  3. Step 3: Cross multiply
    453,176.70x = 678,015.45 × 295,712.70
  4. Step 4: Simplify right side
    453,176.70x = 200,497,779,361.22
  5. Step 5: Solve for x
    x = 200,497,779,361.22/453,176.70
  6. Step 6: Final answer
    x = 442,427.38

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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.