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Finding the Fourth Proportional to 538,158.16, 742,690.20 and 308,713.90

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Solution

The fourth proportional to 538,158.16, 742,690.20 and 308,713.90 is: 426,043.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,158.16 : 742,690.20 = 308,713.90 : x
  2. Step 2: Convert to fraction form
    538,158.16/742,690.20 = 308,713.90/x
  3. Step 3: Cross multiply
    538,158.16x = 742,690.20 × 308,713.90
  4. Step 4: Simplify right side
    538,158.16x = 229,278,788,133.78
  5. Step 5: Solve for x
    x = 229,278,788,133.78/538,158.16
  6. Step 6: Final answer
    x = 426,043.50

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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.