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Finding the Fourth Proportional to 374,465.76, 516,774 and 204,708.96

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Solution

The fourth proportional to 374,465.76, 516,774 and 204,708.96 is: 282,504.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,465.76 : 516,774 = 204,708.96 : x
  2. Step 2: Convert to fraction form
    374,465.76/516,774 = 204,708.96/x
  3. Step 3: Cross multiply
    374,465.76x = 516,774 × 204,708.96
  4. Step 4: Simplify right side
    374,465.76x = 105,788,268,095.04
  5. Step 5: Solve for x
    x = 105,788,268,095.04/374,465.76
  6. Step 6: Final answer
    x = 282,504.52

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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.