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Finding the Fourth Proportional to 584,048.40, 806,159.16 and 342,383.28

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Solution

The fourth proportional to 584,048.40, 806,159.16 and 342,383.28 is: 472,589.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,048.40 : 806,159.16 = 342,383.28 : x
  2. Step 2: Convert to fraction form
    584,048.40/806,159.16 = 342,383.28/x
  3. Step 3: Cross multiply
    584,048.40x = 806,159.16 × 342,383.28
  4. Step 4: Simplify right side
    584,048.40x = 276,015,417,402.85
  5. Step 5: Solve for x
    x = 276,015,417,402.85/584,048.40
  6. Step 6: Final answer
    x = 472,589.97

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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.