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Finding the Fourth Proportional to 547,313.68, 754,877.24 and 470,960.74

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Solution

The fourth proportional to 547,313.68, 754,877.24 and 470,960.74 is: 649,568.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,313.68 : 754,877.24 = 470,960.74 : x
  2. Step 2: Convert to fraction form
    547,313.68/754,877.24 = 470,960.74/x
  3. Step 3: Cross multiply
    547,313.68x = 754,877.24 × 470,960.74
  4. Step 4: Simplify right side
    547,313.68x = 355,517,543,559.56
  5. Step 5: Solve for x
    x = 355,517,543,559.56/547,313.68
  6. Step 6: Final answer
    x = 649,568.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.