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Finding the Fourth Proportional to 528,027.40, 790,874.70 and 278,417.80

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Solution

The fourth proportional to 528,027.40, 790,874.70 and 278,417.80 is: 417,011.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,027.40 : 790,874.70 = 278,417.80 : x
  2. Step 2: Convert to fraction form
    528,027.40/790,874.70 = 278,417.80/x
  3. Step 3: Cross multiply
    528,027.40x = 790,874.70 × 278,417.80
  4. Step 4: Simplify right side
    528,027.40x = 220,193,594,049.66
  5. Step 5: Solve for x
    x = 220,193,594,049.66/528,027.40
  6. Step 6: Final answer
    x = 417,011.68

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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.