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Finding the Fourth Proportional to 406,983.60, 610,475.40 and 266,823.60

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Solution

The fourth proportional to 406,983.60, 610,475.40 and 266,823.60 is: 400,235.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,983.60 : 610,475.40 = 266,823.60 : x
  2. Step 2: Convert to fraction form
    406,983.60/610,475.40 = 266,823.60/x
  3. Step 3: Cross multiply
    406,983.60x = 610,475.40 × 266,823.60
  4. Step 4: Simplify right side
    406,983.60x = 162,889,243,939.44
  5. Step 5: Solve for x
    x = 162,889,243,939.44/406,983.60
  6. Step 6: Final answer
    x = 400,235.40

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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.