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Finding the Fourth Proportional to 456,434.98, 629,668.08 and 295,342

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Solution

The fourth proportional to 456,434.98, 629,668.08 and 295,342 is: 407,434.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,434.98 : 629,668.08 = 295,342 : x
  2. Step 2: Convert to fraction form
    456,434.98/629,668.08 = 295,342/x
  3. Step 3: Cross multiply
    456,434.98x = 629,668.08 × 295,342
  4. Step 4: Simplify right side
    456,434.98x = 185,967,430,083.36
  5. Step 5: Solve for x
    x = 185,967,430,083.36/456,434.98
  6. Step 6: Final answer
    x = 407,434.66

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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.