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Finding the Fourth Proportional to 519,386.96, 778,765.08 and 203,465.36

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Solution

The fourth proportional to 519,386.96, 778,765.08 and 203,465.36 is: 305,074.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,386.96 : 778,765.08 = 203,465.36 : x
  2. Step 2: Convert to fraction form
    519,386.96/778,765.08 = 203,465.36/x
  3. Step 3: Cross multiply
    519,386.96x = 778,765.08 × 203,465.36
  4. Step 4: Simplify right side
    519,386.96x = 158,451,717,357.63
  5. Step 5: Solve for x
    x = 158,451,717,357.63/519,386.96
  6. Step 6: Final answer
    x = 305,074.50

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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.