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Finding the Fourth Proportional to 401,053.69, 601,574.08 and 97,450.25

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Solution

The fourth proportional to 401,053.69, 601,574.08 and 97,450.25 is: 146,173.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,053.69 : 601,574.08 = 97,450.25 : x
  2. Step 2: Convert to fraction form
    401,053.69/601,574.08 = 97,450.25/x
  3. Step 3: Cross multiply
    401,053.69x = 601,574.08 × 97,450.25
  4. Step 4: Simplify right side
    401,053.69x = 58,623,542,741.96
  5. Step 5: Solve for x
    x = 58,623,542,741.96/401,053.69
  6. Step 6: Final answer
    x = 146,173.80

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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.