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Finding the Fourth Proportional to 266,795.60, 400,412.10 and 258,047.60

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Solution

The fourth proportional to 266,795.60, 400,412.10 and 258,047.60 is: 387,282.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,795.60 : 400,412.10 = 258,047.60 : x
  2. Step 2: Convert to fraction form
    266,795.60/400,412.10 = 258,047.60/x
  3. Step 3: Cross multiply
    266,795.60x = 400,412.10 × 258,047.60
  4. Step 4: Simplify right side
    266,795.60x = 103,325,381,415.96
  5. Step 5: Solve for x
    x = 103,325,381,415.96/266,795.60
  6. Step 6: Final answer
    x = 387,282.93

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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.