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Finding the Fourth Proportional to 417,043.76, 575,504.98 and 226,053.06

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Solution

The fourth proportional to 417,043.76, 575,504.98 and 226,053.06 is: 311,944.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,043.76 : 575,504.98 = 226,053.06 : x
  2. Step 2: Convert to fraction form
    417,043.76/575,504.98 = 226,053.06/x
  3. Step 3: Cross multiply
    417,043.76x = 575,504.98 × 226,053.06
  4. Step 4: Simplify right side
    417,043.76x = 130,094,661,774.24
  5. Step 5: Solve for x
    x = 130,094,661,774.24/417,043.76
  6. Step 6: Final answer
    x = 311,944.87

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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.