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Finding the Fourth Proportional to 413,765.60, 620,648.40 and 147,534.80

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Solution

The fourth proportional to 413,765.60, 620,648.40 and 147,534.80 is: 221,302.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,765.60 : 620,648.40 = 147,534.80 : x
  2. Step 2: Convert to fraction form
    413,765.60/620,648.40 = 147,534.80/x
  3. Step 3: Cross multiply
    413,765.60x = 620,648.40 × 147,534.80
  4. Step 4: Simplify right side
    413,765.60x = 91,567,237,564.32
  5. Step 5: Solve for x
    x = 91,567,237,564.32/413,765.60
  6. Step 6: Final answer
    x = 221,302.20

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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.