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Finding the Fourth Proportional to 401,053.94, 601,574.45 and 97,450.50

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Solution

The fourth proportional to 401,053.94, 601,574.45 and 97,450.50 is: 146,174.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,053.94 : 601,574.45 = 97,450.50 : x
  2. Step 2: Convert to fraction form
    401,053.94/601,574.45 = 97,450.50/x
  3. Step 3: Cross multiply
    401,053.94x = 601,574.45 × 97,450.50
  4. Step 4: Simplify right side
    401,053.94x = 58,623,730,939.73
  5. Step 5: Solve for x
    x = 58,623,730,939.73/401,053.94
  6. Step 6: Final answer
    x = 146,174.18

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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.