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Finding the Fourth Proportional to 415,536.80, 623,596.80 and 266,140.40

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Solution

The fourth proportional to 415,536.80, 623,596.80 and 266,140.40 is: 399,397.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,536.80 : 623,596.80 = 266,140.40 : x
  2. Step 2: Convert to fraction form
    415,536.80/623,596.80 = 266,140.40/x
  3. Step 3: Cross multiply
    415,536.80x = 623,596.80 × 266,140.40
  4. Step 4: Simplify right side
    415,536.80x = 165,964,301,790.72
  5. Step 5: Solve for x
    x = 165,964,301,790.72/415,536.80
  6. Step 6: Final answer
    x = 399,397.36

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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.