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Finding the Fourth Proportional to 584,902.40, 820,729.60 and 584,902.40

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Solution

The fourth proportional to 584,902.40, 820,729.60 and 584,902.40 is: 820,729.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,902.40 : 820,729.60 = 584,902.40 : x
  2. Step 2: Convert to fraction form
    584,902.40/820,729.60 = 584,902.40/x
  3. Step 3: Cross multiply
    584,902.40x = 820,729.60 × 584,902.40
  4. Step 4: Simplify right side
    584,902.40x = 480,046,712,791.04
  5. Step 5: Solve for x
    x = 480,046,712,791.04/584,902.40
  6. Step 6: Final answer
    x = 820,729.60

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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.