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Finding the Fourth Proportional to 691,464, 1,037,196 and 166,152

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Solution

The fourth proportional to 691,464, 1,037,196 and 166,152 is: 249,228

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,464 : 1,037,196 = 166,152 : x
  2. Step 2: Convert to fraction form
    691,464/1,037,196 = 166,152/x
  3. Step 3: Cross multiply
    691,464x = 1,037,196 × 166,152
  4. Step 4: Simplify right side
    691,464x = 172,332,189,792
  5. Step 5: Solve for x
    x = 172,332,189,792/691,464
  6. Step 6: Final answer
    x = 249,228

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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.