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Finding the Fourth Proportional to 509,953.10, 764,273.55 and 310,061.30

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Solution

The fourth proportional to 509,953.10, 764,273.55 and 310,061.30 is: 464,693.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,953.10 : 764,273.55 = 310,061.30 : x
  2. Step 2: Convert to fraction form
    509,953.10/764,273.55 = 310,061.30/x
  3. Step 3: Cross multiply
    509,953.10x = 764,273.55 × 310,061.30
  4. Step 4: Simplify right side
    509,953.10x = 236,971,650,468.62
  5. Step 5: Solve for x
    x = 236,971,650,468.62/509,953.10
  6. Step 6: Final answer
    x = 464,693.03

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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.