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Finding the Fourth Proportional to 473,056.50, 709,688.43 and 177,568.50

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Solution

The fourth proportional to 473,056.50, 709,688.43 and 177,568.50 is: 266,391.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,056.50 : 709,688.43 = 177,568.50 : x
  2. Step 2: Convert to fraction form
    473,056.50/709,688.43 = 177,568.50/x
  3. Step 3: Cross multiply
    473,056.50x = 709,688.43 × 177,568.50
  4. Step 4: Simplify right side
    473,056.50x = 126,018,309,982.46
  5. Step 5: Solve for x
    x = 126,018,309,982.46/473,056.50
  6. Step 6: Final answer
    x = 266,391.67

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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.