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Finding the Fourth Proportional to 401,609.40, 602,594.02 and 219,300.17

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Solution

The fourth proportional to 401,609.40, 602,594.02 and 219,300.17 is: 329,048.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,609.40 : 602,594.02 = 219,300.17 : x
  2. Step 2: Convert to fraction form
    401,609.40/602,594.02 = 219,300.17/x
  3. Step 3: Cross multiply
    401,609.40x = 602,594.02 × 219,300.17
  4. Step 4: Simplify right side
    401,609.40x = 132,148,972,216.74
  5. Step 5: Solve for x
    x = 132,148,972,216.74/401,609.40
  6. Step 6: Final answer
    x = 329,048.50

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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.