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Finding the Fourth Proportional to 475,446.77, 712,907.71 and 195,160.85

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Solution

The fourth proportional to 475,446.77, 712,907.71 and 195,160.85 is: 292,633.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,446.77 : 712,907.71 = 195,160.85 : x
  2. Step 2: Convert to fraction form
    475,446.77/712,907.71 = 195,160.85/x
  3. Step 3: Cross multiply
    475,446.77x = 712,907.71 × 195,160.85
  4. Step 4: Simplify right side
    475,446.77x = 139,131,674,655.15
  5. Step 5: Solve for x
    x = 139,131,674,655.15/475,446.77
  6. Step 6: Final answer
    x = 292,633.55

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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.