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Finding the Fourth Proportional to 456,393.10, 629,612.94 and 295,300.66

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Solution

The fourth proportional to 456,393.10, 629,612.94 and 295,300.66 is: 407,379.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,393.10 : 629,612.94 = 295,300.66 : x
  2. Step 2: Convert to fraction form
    456,393.10/629,612.94 = 295,300.66/x
  3. Step 3: Cross multiply
    456,393.10x = 629,612.94 × 295,300.66
  4. Step 4: Simplify right side
    456,393.10x = 185,925,116,726.54
  5. Step 5: Solve for x
    x = 185,925,116,726.54/456,393.10
  6. Step 6: Final answer
    x = 407,379.33

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1.5x scale

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.