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Finding the Fourth Proportional to 310,515.80, 465,773.70 and 258,027.80

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Solution

The fourth proportional to 310,515.80, 465,773.70 and 258,027.80 is: 387,041.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,515.80 : 465,773.70 = 258,027.80 : x
  2. Step 2: Convert to fraction form
    310,515.80/465,773.70 = 258,027.80/x
  3. Step 3: Cross multiply
    310,515.80x = 465,773.70 × 258,027.80
  4. Step 4: Simplify right side
    310,515.80x = 120,182,563,108.86
  5. Step 5: Solve for x
    x = 120,182,563,108.86/310,515.80
  6. Step 6: Final answer
    x = 387,041.70

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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.