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Finding the Fourth Proportional to 461,630.40, 692,499.60 and 146,119.20

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Solution

The fourth proportional to 461,630.40, 692,499.60 and 146,119.20 is: 219,195.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,630.40 : 692,499.60 = 146,119.20 : x
  2. Step 2: Convert to fraction form
    461,630.40/692,499.60 = 146,119.20/x
  3. Step 3: Cross multiply
    461,630.40x = 692,499.60 × 146,119.20
  4. Step 4: Simplify right side
    461,630.40x = 101,187,487,552.32
  5. Step 5: Solve for x
    x = 101,187,487,552.32/461,630.40
  6. Step 6: Final answer
    x = 219,195.89

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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.