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Finding the Fourth Proportional to 584,066.88, 805,859.94 and 342,219.51

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Solution

The fourth proportional to 584,066.88, 805,859.94 and 342,219.51 is: 472,173.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,066.88 : 805,859.94 = 342,219.51 : x
  2. Step 2: Convert to fraction form
    584,066.88/805,859.94 = 342,219.51/x
  3. Step 3: Cross multiply
    584,066.88x = 805,859.94 × 342,219.51
  4. Step 4: Simplify right side
    584,066.88x = 275,780,993,795.43
  5. Step 5: Solve for x
    x = 275,780,993,795.43/584,066.88
  6. Step 6: Final answer
    x = 472,173.66

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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.