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Finding the Fourth Proportional to 509,530.00, 764,420.25 and 253,483.46

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Solution

The fourth proportional to 509,530.00, 764,420.25 and 253,483.46 is: 380,287.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,530.00 : 764,420.25 = 253,483.46 : x
  2. Step 2: Convert to fraction form
    509,530.00/764,420.25 = 253,483.46/x
  3. Step 3: Cross multiply
    509,530.00x = 764,420.25 × 253,483.46
  4. Step 4: Simplify right side
    509,530.00x = 193,767,889,864.07
  5. Step 5: Solve for x
    x = 193,767,889,864.07/509,530.00
  6. Step 6: Final answer
    x = 380,287.50

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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.