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Finding the Fourth Proportional to 632,698.42, 873,123.80 and 346,218.54

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Solution

The fourth proportional to 632,698.42, 873,123.80 and 346,218.54 is: 477,781.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,698.42 : 873,123.80 = 346,218.54 : x
  2. Step 2: Convert to fraction form
    632,698.42/873,123.80 = 346,218.54/x
  3. Step 3: Cross multiply
    632,698.42x = 873,123.80 × 346,218.54
  4. Step 4: Simplify right side
    632,698.42x = 302,291,647,275.25
  5. Step 5: Solve for x
    x = 302,291,647,275.25/632,698.42
  6. Step 6: Final answer
    x = 477,781.57

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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.