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Finding the Fourth Proportional to 374,207.04, 516,404.16 and 204,444

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Solution

The fourth proportional to 374,207.04, 516,404.16 and 204,444 is: 282,131.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,207.04 : 516,404.16 = 204,444 : x
  2. Step 2: Convert to fraction form
    374,207.04/516,404.16 = 204,444/x
  3. Step 3: Cross multiply
    374,207.04x = 516,404.16 × 204,444
  4. Step 4: Simplify right side
    374,207.04x = 105,575,732,087.04
  5. Step 5: Solve for x
    x = 105,575,732,087.04/374,207.04
  6. Step 6: Final answer
    x = 282,131.87

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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.