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Finding the Fourth Proportional to 538,158.40, 808,015.20 and 405,966.40

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Solution

The fourth proportional to 538,158.40, 808,015.20 and 405,966.40 is: 609,536.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,158.40 : 808,015.20 = 405,966.40 : x
  2. Step 2: Convert to fraction form
    538,158.40/808,015.20 = 405,966.40/x
  3. Step 3: Cross multiply
    538,158.40x = 808,015.20 × 405,966.40
  4. Step 4: Simplify right side
    538,158.40x = 328,027,021,889.28
  5. Step 5: Solve for x
    x = 328,027,021,889.28/538,158.40
  6. Step 6: Final answer
    x = 609,536.19

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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.