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Finding the Fourth Proportional to 464,814.84, 641,508.83 and 260,877.90

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Solution

The fourth proportional to 464,814.84, 641,508.83 and 260,877.90 is: 360,047.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,814.84 : 641,508.83 = 260,877.90 : x
  2. Step 2: Convert to fraction form
    464,814.84/641,508.83 = 260,877.90/x
  3. Step 3: Cross multiply
    464,814.84x = 641,508.83 × 260,877.90
  4. Step 4: Simplify right side
    464,814.84x = 167,355,476,401.86
  5. Step 5: Solve for x
    x = 167,355,476,401.86/464,814.84
  6. Step 6: Final answer
    x = 360,047.62

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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.