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Finding the Fourth Proportional to 737,157.89, 1,017,310.64 and 414,888.86

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Solution

The fourth proportional to 737,157.89, 1,017,310.64 and 414,888.86 is: 572,565.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,157.89 : 1,017,310.64 = 414,888.86 : x
  2. Step 2: Convert to fraction form
    737,157.89/1,017,310.64 = 414,888.86/x
  3. Step 3: Cross multiply
    737,157.89x = 1,017,310.64 × 414,888.86
  4. Step 4: Simplify right side
    737,157.89x = 422,070,852,164.30
  5. Step 5: Solve for x
    x = 422,070,852,164.30/737,157.89
  6. Step 6: Final answer
    x = 572,565.06

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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.