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Finding the Fourth Proportional to 402,755.24, 604,159.50 and 118,471.22

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Solution

The fourth proportional to 402,755.24, 604,159.50 and 118,471.22 is: 177,714.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,755.24 : 604,159.50 = 118,471.22 : x
  2. Step 2: Convert to fraction form
    402,755.24/604,159.50 = 118,471.22/x
  3. Step 3: Cross multiply
    402,755.24x = 604,159.50 × 118,471.22
  4. Step 4: Simplify right side
    402,755.24x = 71,575,513,039.59
  5. Step 5: Solve for x
    x = 71,575,513,039.59/402,755.24
  6. Step 6: Final answer
    x = 177,714.67

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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.