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Finding the Fourth Proportional to 519,409.40, 778,883.70 and 238,782.20

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Solution

The fourth proportional to 519,409.40, 778,883.70 and 238,782.20 is: 358,067.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,409.40 : 778,883.70 = 238,782.20 : x
  2. Step 2: Convert to fraction form
    519,409.40/778,883.70 = 238,782.20/x
  3. Step 3: Cross multiply
    519,409.40x = 778,883.70 × 238,782.20
  4. Step 4: Simplify right side
    519,409.40x = 185,983,563,430.14
  5. Step 5: Solve for x
    x = 185,983,563,430.14/519,409.40
  6. Step 6: Final answer
    x = 358,067.38

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1.5x scale

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.