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Finding the Fourth Proportional to 472,368.60, 707,809.26 and 294,609.24

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Solution

The fourth proportional to 472,368.60, 707,809.26 and 294,609.24 is: 441,450.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,368.60 : 707,809.26 = 294,609.24 : x
  2. Step 2: Convert to fraction form
    472,368.60/707,809.26 = 294,609.24/x
  3. Step 3: Cross multiply
    472,368.60x = 707,809.26 × 294,609.24
  4. Step 4: Simplify right side
    472,368.60x = 208,527,148,153.56
  5. Step 5: Solve for x
    x = 208,527,148,153.56/472,368.60
  6. Step 6: Final answer
    x = 441,450.06

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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.