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Finding the Fourth Proportional to 553,022.28, 762,763.30 and 417,061.95

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Solution

The fourth proportional to 553,022.28, 762,763.30 and 417,061.95 is: 575,238.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,022.28 : 762,763.30 = 417,061.95 : x
  2. Step 2: Convert to fraction form
    553,022.28/762,763.30 = 417,061.95/x
  3. Step 3: Cross multiply
    553,022.28x = 762,763.30 × 417,061.95
  4. Step 4: Simplify right side
    553,022.28x = 318,119,549,286.44
  5. Step 5: Solve for x
    x = 318,119,549,286.44/553,022.28
  6. Step 6: Final answer
    x = 575,238.22

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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.