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Finding the Fourth Proportional to 520,266.90, 780,400.35 and 394,295.70

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Solution

The fourth proportional to 520,266.90, 780,400.35 and 394,295.70 is: 591,443.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,266.90 : 780,400.35 = 394,295.70 : x
  2. Step 2: Convert to fraction form
    520,266.90/780,400.35 = 394,295.70/x
  3. Step 3: Cross multiply
    520,266.90x = 780,400.35 × 394,295.70
  4. Step 4: Simplify right side
    520,266.90x = 307,708,502,283.50
  5. Step 5: Solve for x
    x = 307,708,502,283.50/520,266.90
  6. Step 6: Final answer
    x = 591,443.55

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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.