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Finding the Fourth Proportional to 509,651.20, 764,282.40 and 154,547.20

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Solution

The fourth proportional to 509,651.20, 764,282.40 and 154,547.20 is: 231,761.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,651.20 : 764,282.40 = 154,547.20 : x
  2. Step 2: Convert to fraction form
    509,651.20/764,282.40 = 154,547.20/x
  3. Step 3: Cross multiply
    509,651.20x = 764,282.40 × 154,547.20
  4. Step 4: Simplify right side
    509,651.20x = 118,117,704,929.28
  5. Step 5: Solve for x
    x = 118,117,704,929.28/509,651.20
  6. Step 6: Final answer
    x = 231,761.85

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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.