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Finding the Fourth Proportional to 520,074.20, 780,111.30 and 146,097.20

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Solution

The fourth proportional to 520,074.20, 780,111.30 and 146,097.20 is: 219,145.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,074.20 : 780,111.30 = 146,097.20 : x
  2. Step 2: Convert to fraction form
    520,074.20/780,111.30 = 146,097.20/x
  3. Step 3: Cross multiply
    520,074.20x = 780,111.30 × 146,097.20
  4. Step 4: Simplify right side
    520,074.20x = 113,972,076,618.36
  5. Step 5: Solve for x
    x = 113,972,076,618.36/520,074.20
  6. Step 6: Final answer
    x = 219,145.80

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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.