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Finding the Fourth Proportional to 413,829.70, 620,744.55 and 147,598.90

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Solution

The fourth proportional to 413,829.70, 620,744.55 and 147,598.90 is: 221,398.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,829.70 : 620,744.55 = 147,598.90 : x
  2. Step 2: Convert to fraction form
    413,829.70/620,744.55 = 147,598.90/x
  3. Step 3: Cross multiply
    413,829.70x = 620,744.55 × 147,598.90
  4. Step 4: Simplify right side
    413,829.70x = 91,621,212,761.00
  5. Step 5: Solve for x
    x = 91,621,212,761.00/413,829.70
  6. Step 6: Final answer
    x = 221,398.35

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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.