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Finding the Fourth Proportional to 632,846.64, 873,325.22 and 342,458

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Solution

The fourth proportional to 632,846.64, 873,325.22 and 342,458 is: 472,590.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,846.64 : 873,325.22 = 342,458 : x
  2. Step 2: Convert to fraction form
    632,846.64/873,325.22 = 342,458/x
  3. Step 3: Cross multiply
    632,846.64x = 873,325.22 × 342,458
  4. Step 4: Simplify right side
    632,846.64x = 299,077,208,190.76
  5. Step 5: Solve for x
    x = 299,077,208,190.76/632,846.64
  6. Step 6: Final answer
    x = 472,590.34

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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.