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Finding the Fourth Proportional to 413,573.19, 620,020.75 and 147,182.01

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Solution

The fourth proportional to 413,573.19, 620,020.75 and 147,182.01 is: 220,652.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,573.19 : 620,020.75 = 147,182.01 : x
  2. Step 2: Convert to fraction form
    413,573.19/620,020.75 = 147,182.01/x
  3. Step 3: Cross multiply
    413,573.19x = 620,020.75 × 147,182.01
  4. Step 4: Simplify right side
    413,573.19x = 91,255,900,226.71
  5. Step 5: Solve for x
    x = 91,255,900,226.71/413,573.19
  6. Step 6: Final answer
    x = 220,652.36

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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.