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Finding the Fourth Proportional to 374,148.95, 516,336.89 and 204,394.01

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Solution

The fourth proportional to 374,148.95, 516,336.89 and 204,394.01 is: 282,069.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,148.95 : 516,336.89 = 204,394.01 : x
  2. Step 2: Convert to fraction form
    374,148.95/516,336.89 = 204,394.01/x
  3. Step 3: Cross multiply
    374,148.95x = 516,336.89 × 204,394.01
  4. Step 4: Simplify right side
    374,148.95x = 105,536,163,854.37
  5. Step 5: Solve for x
    x = 105,536,163,854.37/374,148.95
  6. Step 6: Final answer
    x = 282,069.92

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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.