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Finding the Fourth Proportional to 474,065.06, 654,230.12 and 259,192.31

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Solution

The fourth proportional to 474,065.06, 654,230.12 and 259,192.31 is: 357,696.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,065.06 : 654,230.12 = 259,192.31 : x
  2. Step 2: Convert to fraction form
    474,065.06/654,230.12 = 259,192.31/x
  3. Step 3: Cross multiply
    474,065.06x = 654,230.12 × 259,192.31
  4. Step 4: Simplify right side
    474,065.06x = 169,571,411,507.27
  5. Step 5: Solve for x
    x = 169,571,411,507.27/474,065.06
  6. Step 6: Final answer
    x = 357,696.50

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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.