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Finding the Fourth Proportional to 417,041.76, 575,502.22 and 226,051.05

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Solution

The fourth proportional to 417,041.76, 575,502.22 and 226,051.05 is: 311,942.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,041.76 : 575,502.22 = 226,051.05 : x
  2. Step 2: Convert to fraction form
    417,041.76/575,502.22 = 226,051.05/x
  3. Step 3: Cross multiply
    417,041.76x = 575,502.22 × 226,051.05
  4. Step 4: Simplify right side
    417,041.76x = 130,092,882,277.49
  5. Step 5: Solve for x
    x = 130,092,882,277.49/417,041.76
  6. Step 6: Final answer
    x = 311,942.10

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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.