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Finding the Fourth Proportional to 557,688.50, 769,615.01 and 303,039.68

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Solution

The fourth proportional to 557,688.50, 769,615.01 and 303,039.68 is: 418,197.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,688.50 : 769,615.01 = 303,039.68 : x
  2. Step 2: Convert to fraction form
    557,688.50/769,615.01 = 303,039.68/x
  3. Step 3: Cross multiply
    557,688.50x = 769,615.01 × 303,039.68
  4. Step 4: Simplify right side
    557,688.50x = 233,223,880,990.32
  5. Step 5: Solve for x
    x = 233,223,880,990.32/557,688.50
  6. Step 6: Final answer
    x = 418,197.40

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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.