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Finding the Fourth Proportional to 317,600.70, 476,746.65 and 177,632.70

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Solution

The fourth proportional to 317,600.70, 476,746.65 and 177,632.70 is: 266,642.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,600.70 : 476,746.65 = 177,632.70 : x
  2. Step 2: Convert to fraction form
    317,600.70/476,746.65 = 177,632.70/x
  3. Step 3: Cross multiply
    317,600.70x = 476,746.65 × 177,632.70
  4. Step 4: Simplify right side
    317,600.70x = 84,685,794,655.46
  5. Step 5: Solve for x
    x = 84,685,794,655.46/317,600.70
  6. Step 6: Final answer
    x = 266,642.34

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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.