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Finding the Fourth Proportional to 538,410.40, 806,924.40 and 413,130.40

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Solution

The fourth proportional to 538,410.40, 806,924.40 and 413,130.40 is: 619,165.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,410.40 : 806,924.40 = 413,130.40 : x
  2. Step 2: Convert to fraction form
    538,410.40/806,924.40 = 413,130.40/x
  3. Step 3: Cross multiply
    538,410.40x = 806,924.40 × 413,130.40
  4. Step 4: Simplify right side
    538,410.40x = 333,365,000,141.76
  5. Step 5: Solve for x
    x = 333,365,000,141.76/538,410.40
  6. Step 6: Final answer
    x = 619,165.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.