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Finding the Fourth Proportional to 456,435.48, 629,668.77 and 295,342.50

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Solution

The fourth proportional to 456,435.48, 629,668.77 and 295,342.50 is: 407,435.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,435.48 : 629,668.77 = 295,342.50 : x
  2. Step 2: Convert to fraction form
    456,435.48/629,668.77 = 295,342.50/x
  3. Step 3: Cross multiply
    456,435.48x = 629,668.77 × 295,342.50
  4. Step 4: Simplify right side
    456,435.48x = 185,967,948,703.73
  5. Step 5: Solve for x
    x = 185,967,948,703.73/456,435.48
  6. Step 6: Final answer
    x = 407,435.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.