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Finding the Fourth Proportional to 550,020, 825,030.65 and 150,664.22

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Solution

The fourth proportional to 550,020, 825,030.65 and 150,664.22 is: 225,996.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,020 : 825,030.65 = 150,664.22 : x
  2. Step 2: Convert to fraction form
    550,020/825,030.65 = 150,664.22/x
  3. Step 3: Cross multiply
    550,020x = 825,030.65 × 150,664.22
  4. Step 4: Simplify right side
    550,020x = 124,302,595,609.85
  5. Step 5: Solve for x
    x = 124,302,595,609.85/550,020
  6. Step 6: Final answer
    x = 225,996.50

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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.