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Finding the Fourth Proportional to 522,829.40, 783,207.30 and 311,840.60

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Solution

The fourth proportional to 522,829.40, 783,207.30 and 311,840.60 is: 467,142.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,829.40 : 783,207.30 = 311,840.60 : x
  2. Step 2: Convert to fraction form
    522,829.40/783,207.30 = 311,840.60/x
  3. Step 3: Cross multiply
    522,829.40x = 783,207.30 × 311,840.60
  4. Step 4: Simplify right side
    522,829.40x = 244,235,834,356.38
  5. Step 5: Solve for x
    x = 244,235,834,356.38/522,829.40
  6. Step 6: Final answer
    x = 467,142.50

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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.