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Finding the Fourth Proportional to 511,813.20, 767,719.80 and 393,715.20

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Solution

The fourth proportional to 511,813.20, 767,719.80 and 393,715.20 is: 590,572.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,813.20 : 767,719.80 = 393,715.20 : x
  2. Step 2: Convert to fraction form
    511,813.20/767,719.80 = 393,715.20/x
  3. Step 3: Cross multiply
    511,813.20x = 767,719.80 × 393,715.20
  4. Step 4: Simplify right side
    511,813.20x = 302,262,954,600.96
  5. Step 5: Solve for x
    x = 302,262,954,600.96/511,813.20
  6. Step 6: Final answer
    x = 590,572.80

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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.