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Finding the Fourth Proportional to 383,235.01, 575,098.55 and 257,017.79

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Solution

The fourth proportional to 383,235.01, 575,098.55 and 257,017.79 is: 385,691.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,235.01 : 575,098.55 = 257,017.79 : x
  2. Step 2: Convert to fraction form
    383,235.01/575,098.55 = 257,017.79/x
  3. Step 3: Cross multiply
    383,235.01x = 575,098.55 × 257,017.79
  4. Step 4: Simplify right side
    383,235.01x = 147,810,558,353.21
  5. Step 5: Solve for x
    x = 147,810,558,353.21/383,235.01
  6. Step 6: Final answer
    x = 385,691.69

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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.