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Finding the Fourth Proportional to 464,595.60, 698,448.60 and 396,166.80

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Solution

The fourth proportional to 464,595.60, 698,448.60 and 396,166.80 is: 595,576.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,595.60 : 698,448.60 = 396,166.80 : x
  2. Step 2: Convert to fraction form
    464,595.60/698,448.60 = 396,166.80/x
  3. Step 3: Cross multiply
    464,595.60x = 698,448.60 × 396,166.80
  4. Step 4: Simplify right side
    464,595.60x = 276,702,146,826.48
  5. Step 5: Solve for x
    x = 276,702,146,826.48/464,595.60
  6. Step 6: Final answer
    x = 595,576.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.