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Finding the Fourth Proportional to 474,494.40, 654,816.96 and 259,643.52

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Solution

The fourth proportional to 474,494.40, 654,816.96 and 259,643.52 is: 358,316.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,494.40 : 654,816.96 = 259,643.52 : x
  2. Step 2: Convert to fraction form
    474,494.40/654,816.96 = 259,643.52/x
  3. Step 3: Cross multiply
    474,494.40x = 654,816.96 × 259,643.52
  4. Step 4: Simplify right side
    474,494.40x = 170,018,980,450.10
  5. Step 5: Solve for x
    x = 170,018,980,450.10/474,494.40
  6. Step 6: Final answer
    x = 358,316.09

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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.