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Finding the Fourth Proportional to 509,193.52, 762,627.44 and 243,141.32

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Solution

The fourth proportional to 509,193.52, 762,627.44 and 243,141.32 is: 364,156.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,193.52 : 762,627.44 = 243,141.32 : x
  2. Step 2: Convert to fraction form
    509,193.52/762,627.44 = 243,141.32/x
  3. Step 3: Cross multiply
    509,193.52x = 762,627.44 × 243,141.32
  4. Step 4: Simplify right side
    509,193.52x = 185,426,242,429.82
  5. Step 5: Solve for x
    x = 185,426,242,429.82/509,193.52
  6. Step 6: Final answer
    x = 364,156.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.