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Finding the Fourth Proportional to 520,071.60, 780,107.40 and 146,094.60

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Solution

The fourth proportional to 520,071.60, 780,107.40 and 146,094.60 is: 219,141.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,071.60 : 780,107.40 = 146,094.60 : x
  2. Step 2: Convert to fraction form
    520,071.60/780,107.40 = 146,094.60/x
  3. Step 3: Cross multiply
    520,071.60x = 780,107.40 × 146,094.60
  4. Step 4: Simplify right side
    520,071.60x = 113,969,478,560.04
  5. Step 5: Solve for x
    x = 113,969,478,560.04/520,071.60
  6. Step 6: Final answer
    x = 219,141.90

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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.