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Finding the Fourth Proportional to 456,534.50, 684,794.82 and 157,017.67

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Solution

The fourth proportional to 456,534.50, 684,794.82 and 157,017.67 is: 235,524.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,534.50 : 684,794.82 = 157,017.67 : x
  2. Step 2: Convert to fraction form
    456,534.50/684,794.82 = 157,017.67/x
  3. Step 3: Cross multiply
    456,534.50x = 684,794.82 × 157,017.67
  4. Step 4: Simplify right side
    456,534.50x = 107,524,887,064.47
  5. Step 5: Solve for x
    x = 107,524,887,064.47/456,534.50
  6. Step 6: Final answer
    x = 235,524.12

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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.