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Finding the Fourth Proportional to 474,546.35, 654,852.96 and 259,695.47

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Solution

The fourth proportional to 474,546.35, 654,852.96 and 259,695.47 is: 358,368.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,546.35 : 654,852.96 = 259,695.47 : x
  2. Step 2: Convert to fraction form
    474,546.35/654,852.96 = 259,695.47/x
  3. Step 3: Cross multiply
    474,546.35x = 654,852.96 × 259,695.47
  4. Step 4: Simplify right side
    474,546.35x = 170,062,348,865.22
  5. Step 5: Solve for x
    x = 170,062,348,865.22/474,546.35
  6. Step 6: Final answer
    x = 358,368.26

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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.