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Finding the Fourth Proportional to 707,480.70, 974,463.66 and 543,824.16

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Solution

The fourth proportional to 707,480.70, 974,463.66 and 543,824.16 is: 749,047.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,480.70 : 974,463.66 = 543,824.16 : x
  2. Step 2: Convert to fraction form
    707,480.70/974,463.66 = 543,824.16/x
  3. Step 3: Cross multiply
    707,480.70x = 974,463.66 × 543,824.16
  4. Step 4: Simplify right side
    707,480.70x = 529,936,881,350.03
  5. Step 5: Solve for x
    x = 529,936,881,350.03/707,480.70
  6. Step 6: Final answer
    x = 749,047.83

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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.