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Finding the Fourth Proportional to 374,242.34, 516,454 and 202,160.26

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Solution

The fourth proportional to 374,242.34, 516,454 and 202,160.26 is: 278,980.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,242.34 : 516,454 = 202,160.26 : x
  2. Step 2: Convert to fraction form
    374,242.34/516,454 = 202,160.26/x
  3. Step 3: Cross multiply
    374,242.34x = 516,454 × 202,160.26
  4. Step 4: Simplify right side
    374,242.34x = 104,406,474,918.04
  5. Step 5: Solve for x
    x = 104,406,474,918.04/374,242.34
  6. Step 6: Final answer
    x = 278,980.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.