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Finding the Fourth Proportional to 509,775.32, 764,613.56 and 154,792.46

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Solution

The fourth proportional to 509,775.32, 764,613.56 and 154,792.46 is: 232,173.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,775.32 : 764,613.56 = 154,792.46 : x
  2. Step 2: Convert to fraction form
    509,775.32/764,613.56 = 154,792.46/x
  3. Step 3: Cross multiply
    509,775.32x = 764,613.56 × 154,792.46
  4. Step 4: Simplify right side
    509,775.32x = 118,356,413,901.76
  5. Step 5: Solve for x
    x = 118,356,413,901.76/509,775.32
  6. Step 6: Final answer
    x = 232,173.68

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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.