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Finding the Fourth Proportional to 405,341.48, 559,234.86 and 262,282.52

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Solution

The fourth proportional to 405,341.48, 559,234.86 and 262,282.52 is: 361,861.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,341.48 : 559,234.86 = 262,282.52 : x
  2. Step 2: Convert to fraction form
    405,341.48/559,234.86 = 262,282.52/x
  3. Step 3: Cross multiply
    405,341.48x = 559,234.86 × 262,282.52
  4. Step 4: Simplify right side
    405,341.48x = 146,677,528,352.65
  5. Step 5: Solve for x
    x = 146,677,528,352.65/405,341.48
  6. Step 6: Final answer
    x = 361,861.63

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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.