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Finding the Fourth Proportional to 737,166.11, 1,017,321.98 and 414,897.08

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Solution

The fourth proportional to 737,166.11, 1,017,321.98 and 414,897.08 is: 572,576.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,166.11 : 1,017,321.98 = 414,897.08 : x
  2. Step 2: Convert to fraction form
    737,166.11/1,017,321.98 = 414,897.08/x
  3. Step 3: Cross multiply
    737,166.11x = 1,017,321.98 × 414,897.08
  4. Step 4: Simplify right side
    737,166.11x = 422,083,911,760.72
  5. Step 5: Solve for x
    x = 422,083,911,760.72/737,166.11
  6. Step 6: Final answer
    x = 572,576.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.