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Finding the Fourth Proportional to 472,645.44, 707,302.80 and 295,236

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Solution

The fourth proportional to 472,645.44, 707,302.80 and 295,236 is: 441,813.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,645.44 : 707,302.80 = 295,236 : x
  2. Step 2: Convert to fraction form
    472,645.44/707,302.80 = 295,236/x
  3. Step 3: Cross multiply
    472,645.44x = 707,302.80 × 295,236
  4. Step 4: Simplify right side
    472,645.44x = 208,821,249,460.80
  5. Step 5: Solve for x
    x = 208,821,249,460.80/472,645.44
  6. Step 6: Final answer
    x = 441,813.74

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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.