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Finding the Fourth Proportional to 413,241.51, 619,862.26 and 147,004.33

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Solution

The fourth proportional to 413,241.51, 619,862.26 and 147,004.33 is: 220,506.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,241.51 : 619,862.26 = 147,004.33 : x
  2. Step 2: Convert to fraction form
    413,241.51/619,862.26 = 147,004.33/x
  3. Step 3: Cross multiply
    413,241.51x = 619,862.26 × 147,004.33
  4. Step 4: Simplify right side
    413,241.51x = 91,122,437,339.51
  5. Step 5: Solve for x
    x = 91,122,437,339.51/413,241.51
  6. Step 6: Final answer
    x = 220,506.50

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1.5x scale

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.