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Finding the Fourth Proportional to 401,829.01, 602,728.89 and 162,046.33

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Solution

The fourth proportional to 401,829.01, 602,728.89 and 162,046.33 is: 243,063.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,829.01 : 602,728.89 = 162,046.33 : x
  2. Step 2: Convert to fraction form
    401,829.01/602,728.89 = 162,046.33/x
  3. Step 3: Cross multiply
    401,829.01x = 602,728.89 × 162,046.33
  4. Step 4: Simplify right side
    401,829.01x = 97,670,004,609.47
  5. Step 5: Solve for x
    x = 97,670,004,609.47/401,829.01
  6. Step 6: Final answer
    x = 243,063.60

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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.