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Finding the Fourth Proportional to 461,638.80, 692,388.72 and 146,054.64

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Solution

The fourth proportional to 461,638.80, 692,388.72 and 146,054.64 is: 219,059.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,638.80 : 692,388.72 = 146,054.64 : x
  2. Step 2: Convert to fraction form
    461,638.80/692,388.72 = 146,054.64/x
  3. Step 3: Cross multiply
    461,638.80x = 692,388.72 × 146,054.64
  4. Step 4: Simplify right side
    461,638.80x = 101,126,585,239.66
  5. Step 5: Solve for x
    x = 101,126,585,239.66/461,638.80
  6. Step 6: Final answer
    x = 219,059.98

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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.