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Finding the Fourth Proportional to 584,807.56, 807,081.32 and 464,938.08

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Solution

The fourth proportional to 584,807.56, 807,081.32 and 464,938.08 is: 641,651.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,807.56 : 807,081.32 = 464,938.08 : x
  2. Step 2: Convert to fraction form
    584,807.56/807,081.32 = 464,938.08/x
  3. Step 3: Cross multiply
    584,807.56x = 807,081.32 × 464,938.08
  4. Step 4: Simplify right side
    584,807.56x = 375,242,839,324.67
  5. Step 5: Solve for x
    x = 375,242,839,324.67/584,807.56
  6. Step 6: Final answer
    x = 641,651.83

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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.