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Finding the Fourth Proportional to 474,598.74, 654,937.50 and 259,734.48

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Solution

The fourth proportional to 474,598.74, 654,937.50 and 259,734.48 is: 358,428.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,598.74 : 654,937.50 = 259,734.48 : x
  2. Step 2: Convert to fraction form
    474,598.74/654,937.50 = 259,734.48/x
  3. Step 3: Cross multiply
    474,598.74x = 654,937.50 × 259,734.48
  4. Step 4: Simplify right side
    474,598.74x = 170,109,850,995
  5. Step 5: Solve for x
    x = 170,109,850,995/474,598.74
  6. Step 6: Final answer
    x = 358,428.79

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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.