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Finding the Fourth Proportional to 407,893.40, 611,840.10 and 266,175.80

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Solution

The fourth proportional to 407,893.40, 611,840.10 and 266,175.80 is: 399,263.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,893.40 : 611,840.10 = 266,175.80 : x
  2. Step 2: Convert to fraction form
    407,893.40/611,840.10 = 266,175.80/x
  3. Step 3: Cross multiply
    407,893.40x = 611,840.10 × 266,175.80
  4. Step 4: Simplify right side
    407,893.40x = 162,857,028,089.58
  5. Step 5: Solve for x
    x = 162,857,028,089.58/407,893.40
  6. Step 6: Final answer
    x = 399,263.70

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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.