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Finding the Fourth Proportional to 401,525.40, 601,883.10 and 148,643.40

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Solution

The fourth proportional to 401,525.40, 601,883.10 and 148,643.40 is: 222,815.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,525.40 : 601,883.10 = 148,643.40 : x
  2. Step 2: Convert to fraction form
    401,525.40/601,883.10 = 148,643.40/x
  3. Step 3: Cross multiply
    401,525.40x = 601,883.10 × 148,643.40
  4. Step 4: Simplify right side
    401,525.40x = 89,465,950,386.54
  5. Step 5: Solve for x
    x = 89,465,950,386.54/401,525.40
  6. Step 6: Final answer
    x = 222,815.17

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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.