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Finding the Fourth Proportional to 416,725.40, 575,081.02 and 225,738.74

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Solution

The fourth proportional to 416,725.40, 575,081.02 and 225,738.74 is: 311,519.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,725.40 : 575,081.02 = 225,738.74 : x
  2. Step 2: Convert to fraction form
    416,725.40/575,081.02 = 225,738.74/x
  3. Step 3: Cross multiply
    416,725.40x = 575,081.02 × 225,738.74
  4. Step 4: Simplify right side
    416,725.40x = 129,818,064,852.72
  5. Step 5: Solve for x
    x = 129,818,064,852.72/416,725.40
  6. Step 6: Final answer
    x = 311,519.44

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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.