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Finding the Fourth Proportional to 468,234.92, 702,323.54 and 288,354.62

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Solution

The fourth proportional to 468,234.92, 702,323.54 and 288,354.62 is: 432,514.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,234.92 : 702,323.54 = 288,354.62 : x
  2. Step 2: Convert to fraction form
    468,234.92/702,323.54 = 288,354.62/x
  3. Step 3: Cross multiply
    468,234.92x = 702,323.54 × 288,354.62
  4. Step 4: Simplify right side
    468,234.92x = 202,518,237,493.76
  5. Step 5: Solve for x
    x = 202,518,237,493.76/468,234.92
  6. Step 6: Final answer
    x = 432,514.17

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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.