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Finding the Fourth Proportional to 536,500.58, 804,875.51 and 157,406

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Solution

The fourth proportional to 536,500.58, 804,875.51 and 157,406 is: 236,145.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,500.58 : 804,875.51 = 157,406 : x
  2. Step 2: Convert to fraction form
    536,500.58/804,875.51 = 157,406/x
  3. Step 3: Cross multiply
    536,500.58x = 804,875.51 × 157,406
  4. Step 4: Simplify right side
    536,500.58x = 126,692,234,527.06
  5. Step 5: Solve for x
    x = 126,692,234,527.06/536,500.58
  6. Step 6: Final answer
    x = 236,145.57

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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.