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Finding the Fourth Proportional to 509,671.84, 764,510.21 and 154,688.94

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Solution

The fourth proportional to 509,671.84, 764,510.21 and 154,688.94 is: 232,034.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,671.84 : 764,510.21 = 154,688.94 : x
  2. Step 2: Convert to fraction form
    509,671.84/764,510.21 = 154,688.94/x
  3. Step 3: Cross multiply
    509,671.84x = 764,510.21 × 154,688.94
  4. Step 4: Simplify right side
    509,671.84x = 118,261,274,004.08
  5. Step 5: Solve for x
    x = 118,261,274,004.08/509,671.84
  6. Step 6: Final answer
    x = 232,034.15

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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.