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Finding the Fourth Proportional to 374,419.80, 516,699.14 and 204,653.93

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Solution

The fourth proportional to 374,419.80, 516,699.14 and 204,653.93 is: 282,422.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,419.80 : 516,699.14 = 204,653.93 : x
  2. Step 2: Convert to fraction form
    374,419.80/516,699.14 = 204,653.93/x
  3. Step 3: Cross multiply
    374,419.80x = 516,699.14 × 204,653.93
  4. Step 4: Simplify right side
    374,419.80x = 105,744,506,021.86
  5. Step 5: Solve for x
    x = 105,744,506,021.86/374,419.80
  6. Step 6: Final answer
    x = 282,422.31

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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.