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Finding the Fourth Proportional to 461,646.40, 692,523.60 and 146,135.20

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Solution

The fourth proportional to 461,646.40, 692,523.60 and 146,135.20 is: 219,219.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,646.40 : 692,523.60 = 146,135.20 : x
  2. Step 2: Convert to fraction form
    461,646.40/692,523.60 = 146,135.20/x
  3. Step 3: Cross multiply
    461,646.40x = 692,523.60 × 146,135.20
  4. Step 4: Simplify right side
    461,646.40x = 101,202,074,790.72
  5. Step 5: Solve for x
    x = 101,202,074,790.72/461,646.40
  6. Step 6: Final answer
    x = 219,219.89

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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.