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Finding the Fourth Proportional to 374,405.82, 516,672.42 and 204,641.16

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Solution

The fourth proportional to 374,405.82, 516,672.42 and 204,641.16 is: 282,400.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,405.82 : 516,672.42 = 204,641.16 : x
  2. Step 2: Convert to fraction form
    374,405.82/516,672.42 = 204,641.16/x
  3. Step 3: Cross multiply
    374,405.82x = 516,672.42 × 204,641.16
  4. Step 4: Simplify right side
    374,405.82x = 105,732,443,368.81
  5. Step 5: Solve for x
    x = 105,732,443,368.81/374,405.82
  6. Step 6: Final answer
    x = 282,400.64

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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.