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Finding the Fourth Proportional to 415,248.36, 572,445.54 and 295,809

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Solution

The fourth proportional to 415,248.36, 572,445.54 and 295,809 is: 407,791.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,248.36 : 572,445.54 = 295,809 : x
  2. Step 2: Convert to fraction form
    415,248.36/572,445.54 = 295,809/x
  3. Step 3: Cross multiply
    415,248.36x = 572,445.54 × 295,809
  4. Step 4: Simplify right side
    415,248.36x = 169,334,542,741.86
  5. Step 5: Solve for x
    x = 169,334,542,741.86/415,248.36
  6. Step 6: Final answer
    x = 407,791.00

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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.