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Finding the Fourth Proportional to 468,442.58, 702,558.70 and 215,480.12

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Solution

The fourth proportional to 468,442.58, 702,558.70 and 215,480.12 is: 323,171.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,442.58 : 702,558.70 = 215,480.12 : x
  2. Step 2: Convert to fraction form
    468,442.58/702,558.70 = 215,480.12/x
  3. Step 3: Cross multiply
    468,442.58x = 702,558.70 × 215,480.12
  4. Step 4: Simplify right side
    468,442.58x = 151,387,428,931.55
  5. Step 5: Solve for x
    x = 151,387,428,931.55/468,442.58
  6. Step 6: Final answer
    x = 323,171.80

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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.