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Finding the Fourth Proportional to 737,041.98, 1,017,106.02 and 414,751.89

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Solution

The fourth proportional to 737,041.98, 1,017,106.02 and 414,751.89 is: 572,350.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,041.98 : 1,017,106.02 = 414,751.89 : x
  2. Step 2: Convert to fraction form
    737,041.98/1,017,106.02 = 414,751.89/x
  3. Step 3: Cross multiply
    737,041.98x = 1,017,106.02 × 414,751.89
  4. Step 4: Simplify right side
    737,041.98x = 421,846,644,125.38
  5. Step 5: Solve for x
    x = 421,846,644,125.38/737,041.98
  6. Step 6: Final answer
    x = 572,350.90

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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.