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Finding the Fourth Proportional to 464,468.91, 641,018.30 and 260,539.71

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Solution

The fourth proportional to 464,468.91, 641,018.30 and 260,539.71 is: 359,573.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,468.91 : 641,018.30 = 260,539.71 : x
  2. Step 2: Convert to fraction form
    464,468.91/641,018.30 = 260,539.71/x
  3. Step 3: Cross multiply
    464,468.91x = 641,018.30 × 260,539.71
  4. Step 4: Simplify right side
    464,468.91x = 167,010,720,683.99
  5. Step 5: Solve for x
    x = 167,010,720,683.99/464,468.91
  6. Step 6: Final answer
    x = 359,573.52

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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.