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Finding the Fourth Proportional to 335,702.75, 462,387.30 and 258,029.86

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Solution

The fourth proportional to 335,702.75, 462,387.30 and 258,029.86 is: 355,402.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,702.75 : 462,387.30 = 258,029.86 : x
  2. Step 2: Convert to fraction form
    335,702.75/462,387.30 = 258,029.86/x
  3. Step 3: Cross multiply
    335,702.75x = 462,387.30 × 258,029.86
  4. Step 4: Simplify right side
    335,702.75x = 119,309,729,128.81
  5. Step 5: Solve for x
    x = 119,309,729,128.81/335,702.75
  6. Step 6: Final answer
    x = 355,402.89

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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.