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Finding the Fourth Proportional to 552,984.24, 829,476 and 316,160.85

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Solution

The fourth proportional to 552,984.24, 829,476 and 316,160.85 is: 474,241.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,984.24 : 829,476 = 316,160.85 : x
  2. Step 2: Convert to fraction form
    552,984.24/829,476 = 316,160.85/x
  3. Step 3: Cross multiply
    552,984.24x = 829,476 × 316,160.85
  4. Step 4: Simplify right side
    552,984.24x = 262,247,837,214.60
  5. Step 5: Solve for x
    x = 262,247,837,214.60/552,984.24
  6. Step 6: Final answer
    x = 474,241.07

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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.