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Finding the Fourth Proportional to 413,127.40, 570,027.30 and 270,097.48

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Solution

The fourth proportional to 413,127.40, 570,027.30 and 270,097.48 is: 372,676.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,127.40 : 570,027.30 = 270,097.48 : x
  2. Step 2: Convert to fraction form
    413,127.40/570,027.30 = 270,097.48/x
  3. Step 3: Cross multiply
    413,127.40x = 570,027.30 × 270,097.48
  4. Step 4: Simplify right side
    413,127.40x = 153,962,937,261.20
  5. Step 5: Solve for x
    x = 153,962,937,261.20/413,127.40
  6. Step 6: Final answer
    x = 372,676.65

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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.