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Finding the Fourth Proportional to 464,712.32, 641,303.33 and 260,735.09

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Solution

The fourth proportional to 464,712.32, 641,303.33 and 260,735.09 is: 359,814.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,712.32 : 641,303.33 = 260,735.09 : x
  2. Step 2: Convert to fraction form
    464,712.32/641,303.33 = 260,735.09/x
  3. Step 3: Cross multiply
    464,712.32x = 641,303.33 × 260,735.09
  4. Step 4: Simplify right side
    464,712.32x = 167,210,281,464.85
  5. Step 5: Solve for x
    x = 167,210,281,464.85/464,712.32
  6. Step 6: Final answer
    x = 359,814.61

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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.