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Finding the Fourth Proportional to 417,045.83, 575,507.82 and 226,055.12

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Solution

The fourth proportional to 417,045.83, 575,507.82 and 226,055.12 is: 311,947.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,045.83 : 575,507.82 = 226,055.12 : x
  2. Step 2: Convert to fraction form
    417,045.83/575,507.82 = 226,055.12/x
  3. Step 3: Cross multiply
    417,045.83x = 575,507.82 × 226,055.12
  4. Step 4: Simplify right side
    417,045.83x = 130,096,489,311.04
  5. Step 5: Solve for x
    x = 130,096,489,311.04/417,045.83
  6. Step 6: Final answer
    x = 311,947.70

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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.