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Finding the Fourth Proportional to 406,646.28, 610,050.96 and 140,416.56

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Solution

The fourth proportional to 406,646.28, 610,050.96 and 140,416.56 is: 210,653.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,646.28 : 610,050.96 = 140,416.56 : x
  2. Step 2: Convert to fraction form
    406,646.28/610,050.96 = 140,416.56/x
  3. Step 3: Cross multiply
    406,646.28x = 610,050.96 × 140,416.56
  4. Step 4: Simplify right side
    406,646.28x = 85,661,257,227.90
  5. Step 5: Solve for x
    x = 85,661,257,227.90/406,646.28
  6. Step 6: Final answer
    x = 210,653.00

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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.