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Finding the Fourth Proportional to 589,854.10, 884,608.35 and 274,234.90

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Solution

The fourth proportional to 589,854.10, 884,608.35 and 274,234.90 is: 411,272.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,854.10 : 884,608.35 = 274,234.90 : x
  2. Step 2: Convert to fraction form
    589,854.10/884,608.35 = 274,234.90/x
  3. Step 3: Cross multiply
    589,854.10x = 884,608.35 × 274,234.90
  4. Step 4: Simplify right side
    589,854.10x = 242,590,482,401.42
  5. Step 5: Solve for x
    x = 242,590,482,401.42/589,854.10
  6. Step 6: Final answer
    x = 411,272.01

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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.