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Finding the Fourth Proportional to 313,000.64, 468,699.60 and 172,603.52

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Solution

The fourth proportional to 313,000.64, 468,699.60 and 172,603.52 is: 258,463.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,000.64 : 468,699.60 = 172,603.52 : x
  2. Step 2: Convert to fraction form
    313,000.64/468,699.60 = 172,603.52/x
  3. Step 3: Cross multiply
    313,000.64x = 468,699.60 × 172,603.52
  4. Step 4: Simplify right side
    313,000.64x = 80,899,200,782.59
  5. Step 5: Solve for x
    x = 80,899,200,782.59/313,000.64
  6. Step 6: Final answer
    x = 258,463.37

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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.