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Finding the Fourth Proportional to 472,505.76, 707,969.64 and 332,012.88

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Solution

The fourth proportional to 472,505.76, 707,969.64 and 332,012.88 is: 497,464.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,505.76 : 707,969.64 = 332,012.88 : x
  2. Step 2: Convert to fraction form
    472,505.76/707,969.64 = 332,012.88/x
  3. Step 3: Cross multiply
    472,505.76x = 707,969.64 × 332,012.88
  4. Step 4: Simplify right side
    472,505.76x = 235,055,039,128.96
  5. Step 5: Solve for x
    x = 235,055,039,128.96/472,505.76
  6. Step 6: Final answer
    x = 497,464.92

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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.