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Finding the Fourth Proportional to 520,119.45, 780,328.62 and 216,454.50

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Solution

The fourth proportional to 520,119.45, 780,328.62 and 216,454.50 is: 324,743.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,119.45 : 780,328.62 = 216,454.50 : x
  2. Step 2: Convert to fraction form
    520,119.45/780,328.62 = 216,454.50/x
  3. Step 3: Cross multiply
    520,119.45x = 780,328.62 × 216,454.50
  4. Step 4: Simplify right side
    520,119.45x = 168,905,641,277.79
  5. Step 5: Solve for x
    x = 168,905,641,277.79/520,119.45
  6. Step 6: Final answer
    x = 324,743.94

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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.