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Finding the Fourth Proportional to 475,854.10, 656,334.56 and 404,120.50

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Solution

The fourth proportional to 475,854.10, 656,334.56 and 404,120.50 is: 557,394.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,854.10 : 656,334.56 = 404,120.50 : x
  2. Step 2: Convert to fraction form
    475,854.10/656,334.56 = 404,120.50/x
  3. Step 3: Cross multiply
    475,854.10x = 656,334.56 × 404,120.50
  4. Step 4: Simplify right side
    475,854.10x = 265,238,250,554.48
  5. Step 5: Solve for x
    x = 265,238,250,554.48/475,854.10
  6. Step 6: Final answer
    x = 557,394.06

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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.