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Finding the Fourth Proportional to 493,006.50, 680,349.04 and 266,652

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Solution

The fourth proportional to 493,006.50, 680,349.04 and 266,652 is: 367,979.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,006.50 : 680,349.04 = 266,652 : x
  2. Step 2: Convert to fraction form
    493,006.50/680,349.04 = 266,652/x
  3. Step 3: Cross multiply
    493,006.50x = 680,349.04 × 266,652
  4. Step 4: Simplify right side
    493,006.50x = 181,416,431,547.45
  5. Step 5: Solve for x
    x = 181,416,431,547.45/493,006.50
  6. Step 6: Final answer
    x = 367,979.80

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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.