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Finding the Fourth Proportional to 737,108.64, 1,017,229.86 and 414,830.16

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Solution

The fourth proportional to 737,108.64, 1,017,229.86 and 414,830.16 is: 572,476.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,108.64 : 1,017,229.86 = 414,830.16 : x
  2. Step 2: Convert to fraction form
    737,108.64/1,017,229.86 = 414,830.16/x
  3. Step 3: Cross multiply
    737,108.64x = 1,017,229.86 × 414,830.16
  4. Step 4: Simplify right side
    737,108.64x = 421,977,625,580.58
  5. Step 5: Solve for x
    x = 421,977,625,580.58/737,108.64
  6. Step 6: Final answer
    x = 572,476.84

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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.