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Finding the Fourth Proportional to 517,877.40, 775,503.90 and 412,901.40

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Solution

The fourth proportional to 517,877.40, 775,503.90 and 412,901.40 is: 618,305.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,877.40 : 775,503.90 = 412,901.40 : x
  2. Step 2: Convert to fraction form
    517,877.40/775,503.90 = 412,901.40/x
  3. Step 3: Cross multiply
    517,877.40x = 775,503.90 × 412,901.40
  4. Step 4: Simplify right side
    517,877.40x = 320,206,646,015.46
  5. Step 5: Solve for x
    x = 320,206,646,015.46/517,877.40
  6. Step 6: Final answer
    x = 618,305.89

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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.