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Finding the Fourth Proportional to 509,530.64, 764,295.06 and 135,553.64

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Solution

The fourth proportional to 509,530.64, 764,295.06 and 135,553.64 is: 203,330.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,530.64 : 764,295.06 = 135,553.64 : x
  2. Step 2: Convert to fraction form
    509,530.64/764,295.06 = 135,553.64/x
  3. Step 3: Cross multiply
    509,530.64x = 764,295.06 × 135,553.64
  4. Step 4: Simplify right side
    509,530.64x = 103,602,977,417.02
  5. Step 5: Solve for x
    x = 103,602,977,417.02/509,530.64
  6. Step 6: Final answer
    x = 203,330.22

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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.