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Finding the Fourth Proportional to 416,159.49, 574,238.50 and 252,731.01

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Solution

The fourth proportional to 416,159.49, 574,238.50 and 252,731.01 is: 348,731.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,159.49 : 574,238.50 = 252,731.01 : x
  2. Step 2: Convert to fraction form
    416,159.49/574,238.50 = 252,731.01/x
  3. Step 3: Cross multiply
    416,159.49x = 574,238.50 × 252,731.01
  4. Step 4: Simplify right side
    416,159.49x = 145,127,876,085.89
  5. Step 5: Solve for x
    x = 145,127,876,085.89/416,159.49
  6. Step 6: Final answer
    x = 348,731.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.