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Finding the Fourth Proportional to 553,017.56, 762,756.79 and 417,057.24

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Solution

The fourth proportional to 553,017.56, 762,756.79 and 417,057.24 is: 575,231.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,017.56 : 762,756.79 = 417,057.24 : x
  2. Step 2: Convert to fraction form
    553,017.56/762,756.79 = 417,057.24/x
  3. Step 3: Cross multiply
    553,017.56x = 762,756.79 × 417,057.24
  4. Step 4: Simplify right side
    553,017.56x = 318,113,235,729.59
  5. Step 5: Solve for x
    x = 318,113,235,729.59/553,017.56
  6. Step 6: Final answer
    x = 575,231.71

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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.