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Finding the Fourth Proportional to 464,218.50, 696,639.06 and 168,730.50

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Solution

The fourth proportional to 464,218.50, 696,639.06 and 168,730.50 is: 253,208.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,218.50 : 696,639.06 = 168,730.50 : x
  2. Step 2: Convert to fraction form
    464,218.50/696,639.06 = 168,730.50/x
  3. Step 3: Cross multiply
    464,218.50x = 696,639.06 × 168,730.50
  4. Step 4: Simplify right side
    464,218.50x = 117,544,256,913.33
  5. Step 5: Solve for x
    x = 117,544,256,913.33/464,218.50
  6. Step 6: Final answer
    x = 253,208.90

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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.