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Finding the Fourth Proportional to 415,513.80, 623,562.30 and 266,117.40

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Solution

The fourth proportional to 415,513.80, 623,562.30 and 266,117.40 is: 399,362.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,513.80 : 623,562.30 = 266,117.40 : x
  2. Step 2: Convert to fraction form
    415,513.80/623,562.30 = 266,117.40/x
  3. Step 3: Cross multiply
    415,513.80x = 623,562.30 × 266,117.40
  4. Step 4: Simplify right side
    415,513.80x = 165,940,778,014.02
  5. Step 5: Solve for x
    x = 165,940,778,014.02/415,513.80
  6. Step 6: Final answer
    x = 399,362.86

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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.