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Finding the Fourth Proportional to 569,463.42, 852,435.81 and 312,653.73

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Solution

The fourth proportional to 569,463.42, 852,435.81 and 312,653.73 is: 468,014.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,463.42 : 852,435.81 = 312,653.73 : x
  2. Step 2: Convert to fraction form
    569,463.42/852,435.81 = 312,653.73/x
  3. Step 3: Cross multiply
    569,463.42x = 852,435.81 × 312,653.73
  4. Step 4: Simplify right side
    569,463.42x = 266,517,235,582.07
  5. Step 5: Solve for x
    x = 266,517,235,582.07/569,463.42
  6. Step 6: Final answer
    x = 468,014.67

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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.