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Finding the Fourth Proportional to 456,366.72, 684,404.48 and 156,775.06

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Solution

The fourth proportional to 456,366.72, 684,404.48 and 156,775.06 is: 235,112.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,366.72 : 684,404.48 = 156,775.06 : x
  2. Step 2: Convert to fraction form
    456,366.72/684,404.48 = 156,775.06/x
  3. Step 3: Cross multiply
    456,366.72x = 684,404.48 × 156,775.06
  4. Step 4: Simplify right side
    456,366.72x = 107,297,553,416.27
  5. Step 5: Solve for x
    x = 107,297,553,416.27/456,366.72
  6. Step 6: Final answer
    x = 235,112.57

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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.