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Finding the Fourth Proportional to 553,004.20, 829,506.30 and 384,167.80

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Solution

The fourth proportional to 553,004.20, 829,506.30 and 384,167.80 is: 576,251.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,004.20 : 829,506.30 = 384,167.80 : x
  2. Step 2: Convert to fraction form
    553,004.20/829,506.30 = 384,167.80/x
  3. Step 3: Cross multiply
    553,004.20x = 829,506.30 × 384,167.80
  4. Step 4: Simplify right side
    553,004.20x = 318,669,610,357.14
  5. Step 5: Solve for x
    x = 318,669,610,357.14/553,004.20
  6. Step 6: Final answer
    x = 576,251.70

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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.