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Finding the Fourth Proportional to 374,265.84, 516,480.72 and 204,496.32

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Solution

The fourth proportional to 374,265.84, 516,480.72 and 204,496.32 is: 282,201.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,265.84 : 516,480.72 = 204,496.32 : x
  2. Step 2: Convert to fraction form
    374,265.84/516,480.72 = 204,496.32/x
  3. Step 3: Cross multiply
    374,265.84x = 516,480.72 × 204,496.32
  4. Step 4: Simplify right side
    374,265.84x = 105,618,406,590.95
  5. Step 5: Solve for x
    x = 105,618,406,590.95/374,265.84
  6. Step 6: Final answer
    x = 282,201.57

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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.