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Finding the Fourth Proportional to 406,829.50, 610,285.25 and 107,330.78

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Solution

The fourth proportional to 406,829.50, 610,285.25 and 107,330.78 is: 161,006.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,829.50 : 610,285.25 = 107,330.78 : x
  2. Step 2: Convert to fraction form
    406,829.50/610,285.25 = 107,330.78/x
  3. Step 3: Cross multiply
    406,829.50x = 610,285.25 × 107,330.78
  4. Step 4: Simplify right side
    406,829.50x = 65,502,393,699.04
  5. Step 5: Solve for x
    x = 65,502,393,699.04/406,829.50
  6. Step 6: Final answer
    x = 161,006.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.