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Finding the Fourth Proportional to 536,243.76, 804,476.16 and 157,176.90

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Solution

The fourth proportional to 536,243.76, 804,476.16 and 157,176.90 is: 235,797.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,243.76 : 804,476.16 = 157,176.90 : x
  2. Step 2: Convert to fraction form
    536,243.76/804,476.16 = 157,176.90/x
  3. Step 3: Cross multiply
    536,243.76x = 804,476.16 × 157,176.90
  4. Step 4: Simplify right side
    536,243.76x = 126,445,068,952.70
  5. Step 5: Solve for x
    x = 126,445,068,952.70/536,243.76
  6. Step 6: Final answer
    x = 235,797.74

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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.