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Finding the Fourth Proportional to 584,165.40, 820,043.40 and 584,165.40

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Solution

The fourth proportional to 584,165.40, 820,043.40 and 584,165.40 is: 820,043.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,165.40 : 820,043.40 = 584,165.40 : x
  2. Step 2: Convert to fraction form
    584,165.40/820,043.40 = 584,165.40/x
  3. Step 3: Cross multiply
    584,165.40x = 820,043.40 × 584,165.40
  4. Step 4: Simplify right side
    584,165.40x = 479,040,980,778.36
  5. Step 5: Solve for x
    x = 479,040,980,778.36/584,165.40
  6. Step 6: Final answer
    x = 820,043.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.