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Finding the Fourth Proportional to 407,564.16, 610,550.88 and 266,896.32

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Solution

The fourth proportional to 407,564.16, 610,550.88 and 266,896.32 is: 399,823.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,564.16 : 610,550.88 = 266,896.32 : x
  2. Step 2: Convert to fraction form
    407,564.16/610,550.88 = 266,896.32/x
  3. Step 3: Cross multiply
    407,564.16x = 610,550.88 × 266,896.32
  4. Step 4: Simplify right side
    407,564.16x = 162,953,783,044.76
  5. Step 5: Solve for x
    x = 162,953,783,044.76/407,564.16
  6. Step 6: Final answer
    x = 399,823.63

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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.