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Finding the Fourth Proportional to 472,369.60, 707,810.76 and 294,610.24

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Solution

The fourth proportional to 472,369.60, 707,810.76 and 294,610.24 is: 441,451.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,369.60 : 707,810.76 = 294,610.24 : x
  2. Step 2: Convert to fraction form
    472,369.60/707,810.76 = 294,610.24/x
  3. Step 3: Cross multiply
    472,369.60x = 707,810.76 × 294,610.24
  4. Step 4: Simplify right side
    472,369.60x = 208,528,297,878.18
  5. Step 5: Solve for x
    x = 208,528,297,878.18/472,369.60
  6. Step 6: Final answer
    x = 441,451.56

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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.