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Finding the Fourth Proportional to 317,957.67, 477,006.57 and 176,010

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Solution

The fourth proportional to 317,957.67, 477,006.57 and 176,010 is: 264,053.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,957.67 : 477,006.57 = 176,010 : x
  2. Step 2: Convert to fraction form
    317,957.67/477,006.57 = 176,010/x
  3. Step 3: Cross multiply
    317,957.67x = 477,006.57 × 176,010
  4. Step 4: Simplify right side
    317,957.67x = 83,957,926,385.70
  5. Step 5: Solve for x
    x = 83,957,926,385.70/317,957.67
  6. Step 6: Final answer
    x = 264,053.79

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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.