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Finding the Fourth Proportional to 334,534.61, 461,658.39 and 198,595.80

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Solution

The fourth proportional to 334,534.61, 461,658.39 and 198,595.80 is: 274,062.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,534.61 : 461,658.39 = 198,595.80 : x
  2. Step 2: Convert to fraction form
    334,534.61/461,658.39 = 198,595.80/x
  3. Step 3: Cross multiply
    334,534.61x = 461,658.39 × 198,595.80
  4. Step 4: Simplify right side
    334,534.61x = 91,683,417,288.76
  5. Step 5: Solve for x
    x = 91,683,417,288.76/334,534.61
  6. Step 6: Final answer
    x = 274,062.58

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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.