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Finding the Fourth Proportional to 464,813.84, 641,507.45 and 260,876.90

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Solution

The fourth proportional to 464,813.84, 641,507.45 and 260,876.90 is: 360,046.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,813.84 : 641,507.45 = 260,876.90 : x
  2. Step 2: Convert to fraction form
    464,813.84/641,507.45 = 260,876.90/x
  3. Step 3: Cross multiply
    464,813.84x = 641,507.45 × 260,876.90
  4. Step 4: Simplify right side
    464,813.84x = 167,354,475,182.29
  5. Step 5: Solve for x
    x = 167,354,475,182.29/464,813.84
  6. Step 6: Final answer
    x = 360,046.24

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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.