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Finding the Fourth Proportional to 413,726.64, 620,577.56 and 114,225.50

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Solution

The fourth proportional to 413,726.64, 620,577.56 and 114,225.50 is: 171,334.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,726.64 : 620,577.56 = 114,225.50 : x
  2. Step 2: Convert to fraction form
    413,726.64/620,577.56 = 114,225.50/x
  3. Step 3: Cross multiply
    413,726.64x = 620,577.56 × 114,225.50
  4. Step 4: Simplify right side
    413,726.64x = 70,885,782,079.78
  5. Step 5: Solve for x
    x = 70,885,782,079.78/413,726.64
  6. Step 6: Final answer
    x = 171,334.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.