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Finding the Fourth Proportional to 468,343.68, 702,516 and 219,200.64

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Solution

The fourth proportional to 468,343.68, 702,516 and 219,200.64 is: 328,801.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,343.68 : 702,516 = 219,200.64 : x
  2. Step 2: Convert to fraction form
    468,343.68/702,516 = 219,200.64/x
  3. Step 3: Cross multiply
    468,343.68x = 702,516 × 219,200.64
  4. Step 4: Simplify right side
    468,343.68x = 153,991,956,810.24
  5. Step 5: Solve for x
    x = 153,991,956,810.24/468,343.68
  6. Step 6: Final answer
    x = 328,801.18

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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.