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Finding the Fourth Proportional to 553,801.60, 830,046.30 and 413,396.20

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Solution

The fourth proportional to 553,801.60, 830,046.30 and 413,396.20 is: 619,604.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,801.60 : 830,046.30 = 413,396.20 : x
  2. Step 2: Convert to fraction form
    553,801.60/830,046.30 = 413,396.20/x
  3. Step 3: Cross multiply
    553,801.60x = 830,046.30 × 413,396.20
  4. Step 4: Simplify right side
    553,801.60x = 343,137,986,244.06
  5. Step 5: Solve for x
    x = 343,137,986,244.06/553,801.60
  6. Step 6: Final answer
    x = 619,604.54

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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.